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Simplifying (-3x + -9)(x + -7) = 0 Reorder the terms: (-9 + -3x)(x + -7) = 0 Reorder the terms: (-9 + -3x)(-7 + x) = 0 Multiply (-9 + -3x) * (-7 + x) (-9(-7 + x) + -3x * (-7 + x)) = 0 ((-7 * -9 + x * -9) + -3x * (-7 + x)) = 0 ((63 + -9x) + -3x * (-7 + x)) = 0 (63 + -9x + (-7 * -3x + x * -3x)) = 0 (63 + -9x + (21x + -3x2)) = 0 Combine like terms: -9x + 21x = 12x (63 + 12x + -3x2) = 0 Solving 63 + 12x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + 4x + -1x2) = 0 Factor a trinomial. 3((7 + -1x)(3 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {7, -3}
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