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Simplifying (2x + -9)(x + 6) + -1x(x + 6) = 0 Reorder the terms: (-9 + 2x)(x + 6) + -1x(x + 6) = 0 Reorder the terms: (-9 + 2x)(6 + x) + -1x(x + 6) = 0 Multiply (-9 + 2x) * (6 + x) (-9(6 + x) + 2x * (6 + x)) + -1x(x + 6) = 0 ((6 * -9 + x * -9) + 2x * (6 + x)) + -1x(x + 6) = 0 ((-54 + -9x) + 2x * (6 + x)) + -1x(x + 6) = 0 (-54 + -9x + (6 * 2x + x * 2x)) + -1x(x + 6) = 0 (-54 + -9x + (12x + 2x2)) + -1x(x + 6) = 0 Combine like terms: -9x + 12x = 3x (-54 + 3x + 2x2) + -1x(x + 6) = 0 Reorder the terms: -54 + 3x + 2x2 + -1x(6 + x) = 0 -54 + 3x + 2x2 + (6 * -1x + x * -1x) = 0 -54 + 3x + 2x2 + (-6x + -1x2) = 0 Reorder the terms: -54 + 3x + -6x + 2x2 + -1x2 = 0 Combine like terms: 3x + -6x = -3x -54 + -3x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 -54 + -3x + 1x2 = 0 Solving -54 + -3x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-6, 9}
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