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Simplifying -2x(2x + 3) = -4 Reorder the terms: -2x(3 + 2x) = -4 (3 * -2x + 2x * -2x) = -4 (-6x + -4x2) = -4 Solving -6x + -4x2 = -4 Solving for variable 'x'. Reorder the terms: 4 + -6x + -4x2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3x + -2x2) = 0 Factor a trinomial. 2((1 + -2x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.5, -2}
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