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Simplifying (x + 3)(x + 3) + -4(x + 3) + -12 = 0 Reorder the terms: (3 + x)(x + 3) + -4(x + 3) + -12 = 0 Reorder the terms: (3 + x)(3 + x) + -4(x + 3) + -12 = 0 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) + -4(x + 3) + -12 = 0 ((3 * 3 + x * 3) + x(3 + x)) + -4(x + 3) + -12 = 0 ((9 + 3x) + x(3 + x)) + -4(x + 3) + -12 = 0 (9 + 3x + (3 * x + x * x)) + -4(x + 3) + -12 = 0 (9 + 3x + (3x + x2)) + -4(x + 3) + -12 = 0 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) + -4(x + 3) + -12 = 0 Reorder the terms: 9 + 6x + x2 + -4(3 + x) + -12 = 0 9 + 6x + x2 + (3 * -4 + x * -4) + -12 = 0 9 + 6x + x2 + (-12 + -4x) + -12 = 0 Reorder the terms: 9 + -12 + -12 + 6x + -4x + x2 = 0 Combine like terms: 9 + -12 = -3 -3 + -12 + 6x + -4x + x2 = 0 Combine like terms: -3 + -12 = -15 -15 + 6x + -4x + x2 = 0 Combine like terms: 6x + -4x = 2x -15 + 2x + x2 = 0 Solving -15 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-5, 3}
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