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Simplifying 12(x + -4) + -4x(x + -4) = 0 Reorder the terms: 12(-4 + x) + -4x(x + -4) = 0 (-4 * 12 + x * 12) + -4x(x + -4) = 0 (-48 + 12x) + -4x(x + -4) = 0 Reorder the terms: -48 + 12x + -4x(-4 + x) = 0 -48 + 12x + (-4 * -4x + x * -4x) = 0 -48 + 12x + (16x + -4x2) = 0 Combine like terms: 12x + 16x = 28x -48 + 28x + -4x2 = 0 Solving -48 + 28x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + 7x + -1x2) = 0 Factor a trinomial. 4((-4 + x)(3 + -1x)) = 0 Ignore the factor 4.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 '(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 = {4, 3}
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