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Simplifying x(x + -6) = -3(4x + 3) Reorder the terms: x(-6 + x) = -3(4x + 3) (-6 * x + x * x) = -3(4x + 3) (-6x + x2) = -3(4x + 3) Reorder the terms: -6x + x2 = -3(3 + 4x) -6x + x2 = (3 * -3 + 4x * -3) -6x + x2 = (-9 + -12x) Solving -6x + x2 = -9 + -12x Solving for variable 'x'. Reorder the terms: 9 + -6x + 12x + x2 = -9 + -12x + 9 + 12x Combine like terms: -6x + 12x = 6x 9 + 6x + x2 = -9 + -12x + 9 + 12x Reorder the terms: 9 + 6x + x2 = -9 + 9 + -12x + 12x Combine like terms: -9 + 9 = 0 9 + 6x + x2 = 0 + -12x + 12x 9 + 6x + x2 = -12x + 12x Combine like terms: -12x + 12x = 0 9 + 6x + x2 = 0 Factor a trinomial. (3 + x)(3 + x) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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