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Simplifying -2x(2x + 3) = -4(x + 1) + -2 Reorder the terms: -2x(3 + 2x) = -4(x + 1) + -2 (3 * -2x + 2x * -2x) = -4(x + 1) + -2 (-6x + -4x2) = -4(x + 1) + -2 Reorder the terms: -6x + -4x2 = -4(1 + x) + -2 -6x + -4x2 = (1 * -4 + x * -4) + -2 -6x + -4x2 = (-4 + -4x) + -2 Reorder the terms: -6x + -4x2 = -4 + -2 + -4x Combine like terms: -4 + -2 = -6 -6x + -4x2 = -6 + -4x Solving -6x + -4x2 = -6 + -4x Solving for variable 'x'. Reorder the terms: 6 + -6x + 4x + -4x2 = -6 + -4x + 6 + 4x Combine like terms: -6x + 4x = -2x 6 + -2x + -4x2 = -6 + -4x + 6 + 4x Reorder the terms: 6 + -2x + -4x2 = -6 + 6 + -4x + 4x Combine like terms: -6 + 6 = 0 6 + -2x + -4x2 = 0 + -4x + 4x 6 + -2x + -4x2 = -4x + 4x Combine like terms: -4x + 4x = 0 6 + -2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -1x + -2x2) = 0 Factor a trinomial. 2((1 + -1x)(3 + 2x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {1, -1.5}
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