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Simplifying (x + -6)(x + -6) + -4 = 0 Reorder the terms: (-6 + x)(x + -6) + -4 = 0 Reorder the terms: (-6 + x)(-6 + x) + -4 = 0 Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) + -4 = 0 ((-6 * -6 + x * -6) + x(-6 + x)) + -4 = 0 ((36 + -6x) + x(-6 + x)) + -4 = 0 (36 + -6x + (-6 * x + x * x)) + -4 = 0 (36 + -6x + (-6x + x2)) + -4 = 0 Combine like terms: -6x + -6x = -12x (36 + -12x + x2) + -4 = 0 Reorder the terms: 36 + -4 + -12x + x2 = 0 Combine like terms: 36 + -4 = 32 32 + -12x + x2 = 0 Solving 32 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {4, 8}
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