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