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Simplifying (x + 6)(x + -6) = 9x Reorder the terms: (6 + x)(x + -6) = 9x Reorder the terms: (6 + x)(-6 + x) = 9x Multiply (6 + x) * (-6 + x) (6(-6 + x) + x(-6 + x)) = 9x ((-6 * 6 + x * 6) + x(-6 + x)) = 9x ((-36 + 6x) + x(-6 + x)) = 9x (-36 + 6x + (-6 * x + x * x)) = 9x (-36 + 6x + (-6x + x2)) = 9x Combine like terms: 6x + -6x = 0 (-36 + 0 + x2) = 9x (-36 + x2) = 9x Solving -36 + x2 = 9x Solving for variable 'x'. Reorder the terms: -36 + -9x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -36 + -9x + x2 = 0 Factor a trinomial. (-3 + -1x)(12 + -1x) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, 12}
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