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Simplifying 72 = -3 + 3(x + -1)(x + -1) Reorder the terms: 72 = -3 + 3(-1 + x)(x + -1) Reorder the terms: 72 = -3 + 3(-1 + x)(-1 + x) Multiply (-1 + x) * (-1 + x) 72 = -3 + 3(-1(-1 + x) + x(-1 + x)) 72 = -3 + 3((-1 * -1 + x * -1) + x(-1 + x)) 72 = -3 + 3((1 + -1x) + x(-1 + x)) 72 = -3 + 3(1 + -1x + (-1 * x + x * x)) 72 = -3 + 3(1 + -1x + (-1x + x2)) Combine like terms: -1x + -1x = -2x 72 = -3 + 3(1 + -2x + x2) 72 = -3 + (1 * 3 + -2x * 3 + x2 * 3) 72 = -3 + (3 + -6x + 3x2) Combine like terms: -3 + 3 = 0 72 = 0 + -6x + 3x2 72 = -6x + 3x2 Solving 72 = -6x + 3x2 Solving for variable 'x'. Reorder the terms: 72 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 72 + 6x + -3x2 = 0 + 3x2 + -3x2 72 + 6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 72 + 6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(24 + 2x + -1x2) = 0 Factor a trinomial. 3((6 + -1x)(4 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -4}
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