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