Solve for . Enter the solutions from least to greatest. (3x -6)(-x +3)=0

Use Zero Product Property: We are given the equation (3x - 6)(-x + 3) = 0. To find the solutions, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.Solve for 3x - 6: Set each factor equal to zero and solve for x. First, set 3x - 6 equal to zero: 3x - 6 = 0.Find x = 2: Solve for x in the equation 3x - 6 = 0. Add 6 to both sides: 3x = 6.Solve for -x + 3: Divide both sides by 3 to isolate x: x = 6 / 3.Find x = 3: Simplify the division to find the first solution: x = 2.Final Solutions: Now, set the second factor -x + 3 equal to zero: -x + 3 = 0.Solve for x in the equation -x + 3 = 0. Subtract 3 from both sides: -x = -3.Multiply both sides by -1 to isolate x: x = 3.We have found two solutions for the equation (3x - 6)(-x + 3) = 0, which are x = 2 and x = 3.

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Solve for $x$ . Enter the solutions from least to greatest. $(3x -6)(-x +3)=0$

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Q. Solve for

x

. Enter the solutions from least to greatest.

(3x -6)(-x +3)=0

Use Zero Product Property: We are given the equation $(3x - 6)(-x + 3) = 0$ . To find the solutions, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
Solve for $3x - 6$ : Set each factor equal to zero and solve for $x$ . $\newline$ First, set $3x - 6$ equal to zero: $3x - 6 = 0$ .
Find $x = 2$ : Solve for $x$ in the equation $3x - 6 = 0$ . $\newline$ Add $6$ to both sides: $3x = 6$ .
Solve for $-x + 3$ : Divide both sides by $3$ to isolate $x$ : $x = \frac{6}{3}$ .
Find $x = 3$ : Simplify the division to find the first solution: $x = 2$ .
Final Solutions: Now, set the second factor $-x + 3$ equal to zero: $-x + 3 = 0$ .
Final Solutions: Now, set the second factor $-x + 3$ equal to zero: $-x + 3 = 0$ .Solve for $x$ in the equation $-x + 3 = 0$ . $\newline$ Subtract $3$ from both sides: $-x = -3$ .
Final Solutions: Now, set the second factor $-x + 3$ equal to zero: $-x + 3 = 0$ . Solve for $x$ in the equation $-x + 3 = 0$ . Subtract $3$ from both sides: $-x = -3$ . Multiply both sides by $-1$ to isolate $x$ : $x = 3$ .
Final Solutions: Now, set the second factor $-x + 3$ equal to zero: $-x + 3 = 0$ .Solve for $x$ in the equation $-x + 3 = 0$ . Subtract $3$ from both sides: $-x = -3$ . Multiply both sides by $-1$ to isolate $x$ : $x = 3$ .We have found two solutions for the equation $(3x - 6)(-x + 3) = 0$ , which are $-x + 3 = 0$ $0$ and $x = 3$ .