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Simplifying (2x + -3)(x + 3) = 4x + -3 Reorder the terms: (-3 + 2x)(x + 3) = 4x + -3 Reorder the terms: (-3 + 2x)(3 + x) = 4x + -3 Multiply (-3 + 2x) * (3 + x) (-3(3 + x) + 2x * (3 + x)) = 4x + -3 ((3 * -3 + x * -3) + 2x * (3 + x)) = 4x + -3 ((-9 + -3x) + 2x * (3 + x)) = 4x + -3 (-9 + -3x + (3 * 2x + x * 2x)) = 4x + -3 (-9 + -3x + (6x + 2x2)) = 4x + -3 Combine like terms: -3x + 6x = 3x (-9 + 3x + 2x2) = 4x + -3 Reorder the terms: -9 + 3x + 2x2 = -3 + 4x Solving -9 + 3x + 2x2 = -3 + 4x Solving for variable 'x'. Reorder the terms: -9 + 3 + 3x + -4x + 2x2 = -3 + 4x + 3 + -4x Combine like terms: -9 + 3 = -6 -6 + 3x + -4x + 2x2 = -3 + 4x + 3 + -4x Combine like terms: 3x + -4x = -1x -6 + -1x + 2x2 = -3 + 4x + 3 + -4x Reorder the terms: -6 + -1x + 2x2 = -3 + 3 + 4x + -4x Combine like terms: -3 + 3 = 0 -6 + -1x + 2x2 = 0 + 4x + -4x -6 + -1x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.5, 2}
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