Solve the quadratic by factoring. 3x^(2)+5x-9=-7 Answer: x=

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Solve the quadratic by factoring.  3x^(2)+5x-9=-7 Answer:  x=

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Move and Combine Terms: First, we need to move all terms to one side of the equation to set it equal to zero. 3x^2 + 5x - 9 + 7 = 0 Now, combine like terms. 3x^2 + 5x - 2 = 0Identify a, b, c: Identify a, b, and c in the quadratic equation ax^2 + bx + c = 0. For the equation 3x^2 + 5x - 2 = 0, we have: a = 3 b = 5 c = -2Find Multiplying Numbers: Find two numbers that multiply to a*c (which is 3*(-2) = -6) and add up to b (which is 5). The numbers that satisfy these conditions are 6 and -1 because: 6 * (-1) = -6 (product is a*c) 6 + (-1) = 5 (sum is b)Rewrite Middle Term: Rewrite the middle term (5x) using the two numbers found in the previous step. 3x^2 + 6x - x - 2 = 0 Now we have four terms and can proceed with factoring by grouping.Factor by Grouping: Group the terms to factor by grouping. (3x^2 + 6x) - (x + 2) = 0 Factor out the common factors from each group. 3x(x + 2) - 1(x + 2) = 0Factor Out Common Factor: Now that we have a common factor of (x + 2), factor it out. (3x - 1)(x + 2) = 0Set Factors Equal: Set each factor equal to zero and solve for x. First factor: 3x - 1 = 0 Add 1 to both sides: 3x = 1 Divide by 3: x = 1/3Solve for x: Now solve for x using the second factor. Second factor: x + 2 = 0 Subtract 2 from both sides: x = -2

Solve the quadratic by factoring. $\newline$ $3 x^{2}+5 x-9=-7$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline3x2+5x−9=−7 3 x^{2}+5 x-9=-7 3x2+5x−9=−7\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $3 x^{2}+5 x-9=-7$ $\newline$ Answer: $x=$