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Simplifying (x + -3)(x + -3) + -81 = 0 Reorder the terms: (-3 + x)(x + -3) + -81 = 0 Reorder the terms: (-3 + x)(-3 + x) + -81 = 0 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + -81 = 0 ((-3 * -3 + x * -3) + x(-3 + x)) + -81 = 0 ((9 + -3x) + x(-3 + x)) + -81 = 0 (9 + -3x + (-3 * x + x * x)) + -81 = 0 (9 + -3x + (-3x + x2)) + -81 = 0 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + -81 = 0 Reorder the terms: 9 + -81 + -6x + x2 = 0 Combine like terms: 9 + -81 = -72 -72 + -6x + x2 = 0 Solving -72 + -6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(12 + -1x) = 0Subproblem 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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-6, 12}
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