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Simplifying (2x + -3)(2x + 3) = (x + 5) + -9 Reorder the terms: (-3 + 2x)(2x + 3) = (x + 5) + -9 Reorder the terms: (-3 + 2x)(3 + 2x) = (x + 5) + -9 Multiply (-3 + 2x) * (3 + 2x) (-3(3 + 2x) + 2x * (3 + 2x)) = (x + 5) + -9 ((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = (x + 5) + -9 ((-9 + -6x) + 2x * (3 + 2x)) = (x + 5) + -9 (-9 + -6x + (3 * 2x + 2x * 2x)) = (x + 5) + -9 (-9 + -6x + (6x + 4x2)) = (x + 5) + -9 Combine like terms: -6x + 6x = 0 (-9 + 0 + 4x2) = (x + 5) + -9 (-9 + 4x2) = (x + 5) + -9 Reorder the terms: -9 + 4x2 = (5 + x) + -9 Remove parenthesis around (5 + x) -9 + 4x2 = 5 + x + -9 Reorder the terms: -9 + 4x2 = 5 + -9 + x Combine like terms: 5 + -9 = -4 -9 + 4x2 = -4 + x Solving -9 + 4x2 = -4 + x Solving for variable 'x'. Reorder the terms: -9 + 4 + -1x + 4x2 = -4 + x + 4 + -1x Combine like terms: -9 + 4 = -5 -5 + -1x + 4x2 = -4 + x + 4 + -1x Reorder the terms: -5 + -1x + 4x2 = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 -5 + -1x + 4x2 = 0 + x + -1x -5 + -1x + 4x2 = x + -1x Combine like terms: x + -1x = 0 -5 + -1x + 4x2 = 0 Factor a trinomial. (-1 + -1x)(5 + -4x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-1, 1.25}
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