Solve for x. Enter the solutions from least to greatest. (x+6)(-x+1)=0 lesser x= greater x=

Identify Equation: The given equation is (x+6)(-x+1)=0. To find the values of x, we need to set each factor equal to zero because if the product of two factors is zero, at least one of the factors must be zero. This is based on the Zero Product Property. Set First Factor: First, let's set the first factor equal to zero: x + 6 = 0. To solve for x, we subtract 6 from both sides of the equation. x = -6. This gives us one of the solutions. Solve for x: Next, we set the second factor equal to zero: -x + 1 = 0. To solve for x, we first subtract 1 from both sides of the equation, getting -x = -1. Then, we multiply both sides by -1 to solve for x, resulting in x = 1. This gives us the second solution.

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Solve for
x.
Enter the solutions from least to greatest.

(x+6)(-x+1)=0
lesser
x=
greater
x=

Solve for $x$ .\ Enter the solutions from least to greatest. $\newline$ $(x+6)(-x+1)=0$ $\newline$ lesser $\newline$ x= $\newline$ greater $\newline$ x=_

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Math Problems

Precalculus

Find the roots of factored polynomials

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Q. Solve for

x

.\ Enter the solutions from least to greatest.

\newline

(x+6)(-x+1)=0

\newline

lesser

\newline

x=__________

\newline

greater

\newline

x=___________

Identify Equation: The given equation is x+6)(-x+1)=0\. To find the values of \$x, we need to set each factor equal to zero because if the product of two factors is zero, at least one of the factors must be zero. This is based on the Zero Product Property.
Set First Factor: First, let's set the first factor equal to zero: $x + 6 = 0$ . To solve for $x$ , we subtract $6$ from both sides of the equation. $x = -6$ . This gives us one of the solutions.
Solve for x: Next, we set the second factor equal to zero: $-x + 1 = 0$ . To solve for $x$ , we first subtract $1$ from both sides of the equation, getting $-x = -1$ . Then, we multiply both sides by $-1$ to solve for $x$ , resulting in $x = 1$ . This gives us the second solution.