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Simplifying (x + -2)(x + 9) = 4x Reorder the terms: (-2 + x)(x + 9) = 4x Reorder the terms: (-2 + x)(9 + x) = 4x Multiply (-2 + x) * (9 + x) (-2(9 + x) + x(9 + x)) = 4x ((9 * -2 + x * -2) + x(9 + x)) = 4x ((-18 + -2x) + x(9 + x)) = 4x (-18 + -2x + (9 * x + x * x)) = 4x (-18 + -2x + (9x + x2)) = 4x Combine like terms: -2x + 9x = 7x (-18 + 7x + x2) = 4x Solving -18 + 7x + x2 = 4x Solving for variable 'x'. Reorder the terms: -18 + 7x + -4x + x2 = 4x + -4x Combine like terms: 7x + -4x = 3x -18 + 3x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 3x + x2 = 0 Factor a trinomial. (-6 + -1x)(3 + -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 '(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 = 3Solution
x = {-6, 3}
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