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Simplifying (2x + -3)(x + 4) = -12 Reorder the terms: (-3 + 2x)(x + 4) = -12 Reorder the terms: (-3 + 2x)(4 + x) = -12 Multiply (-3 + 2x) * (4 + x) (-3(4 + x) + 2x * (4 + x)) = -12 ((4 * -3 + x * -3) + 2x * (4 + x)) = -12 ((-12 + -3x) + 2x * (4 + x)) = -12 (-12 + -3x + (4 * 2x + x * 2x)) = -12 (-12 + -3x + (8x + 2x2)) = -12 Combine like terms: -3x + 8x = 5x (-12 + 5x + 2x2) = -12 Add '12' to each side of the equation. -12 + 5x + 12 + 2x2 = -12 + 12 Reorder the terms: -12 + 12 + 5x + 2x2 = -12 + 12 Combine like terms: -12 + 12 = 0 0 + 5x + 2x2 = -12 + 12 5x + 2x2 = -12 + 12 Combine like terms: -12 + 12 = 0 5x + 2x2 = 0 Solving 5x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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