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