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Simplifying (2x + -3)(x + 2) = -6 Reorder the terms: (-3 + 2x)(x + 2) = -6 Reorder the terms: (-3 + 2x)(2 + x) = -6 Multiply (-3 + 2x) * (2 + x) (-3(2 + x) + 2x * (2 + x)) = -6 ((2 * -3 + x * -3) + 2x * (2 + x)) = -6 ((-6 + -3x) + 2x * (2 + x)) = -6 (-6 + -3x + (2 * 2x + x * 2x)) = -6 (-6 + -3x + (4x + 2x2)) = -6 Combine like terms: -3x + 4x = 1x (-6 + 1x + 2x2) = -6 Add '6' to each side of the equation. -6 + 1x + 6 + 2x2 = -6 + 6 Reorder the terms: -6 + 6 + 1x + 2x2 = -6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x + 2x2 = -6 + 6 1x + 2x2 = -6 + 6 Combine like terms: -6 + 6 = 0 1x + 2x2 = 0 Solving 1x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 2x) = 0Subproblem 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 + 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 = -0.5Solution
x = {0, -0.5}
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