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Simplifying (2x + -1)(x + 3) = 9 Reorder the terms: (-1 + 2x)(x + 3) = 9 Reorder the terms: (-1 + 2x)(3 + x) = 9 Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = 9 ((3 * -1 + x * -1) + 2x * (3 + x)) = 9 ((-3 + -1x) + 2x * (3 + x)) = 9 (-3 + -1x + (3 * 2x + x * 2x)) = 9 (-3 + -1x + (6x + 2x2)) = 9 Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = 9 Solving -3 + 5x + 2x2 = 9 Solving for variable 'x'. Reorder the terms: -3 + -9 + 5x + 2x2 = 9 + -9 Combine like terms: -3 + -9 = -12 -12 + 5x + 2x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -12 + 5x + 2x2 = 0 Factor a trinomial. (-4 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
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 = 1.5Solution
x = {-4, 1.5}
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