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Simplifying (2x + -4)(x + -3) = 12 Reorder the terms: (-4 + 2x)(x + -3) = 12 Reorder the terms: (-4 + 2x)(-3 + x) = 12 Multiply (-4 + 2x) * (-3 + x) (-4(-3 + x) + 2x * (-3 + x)) = 12 ((-3 * -4 + x * -4) + 2x * (-3 + x)) = 12 ((12 + -4x) + 2x * (-3 + x)) = 12 (12 + -4x + (-3 * 2x + x * 2x)) = 12 (12 + -4x + (-6x + 2x2)) = 12 Combine like terms: -4x + -6x = -10x (12 + -10x + 2x2) = 12 Add '-12' to each side of the equation. 12 + -10x + -12 + 2x2 = 12 + -12 Reorder the terms: 12 + -12 + -10x + 2x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -10x + 2x2 = 12 + -12 -10x + 2x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -10x + 2x2 = 0 Solving -10x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + x) = 0 Ignore the factor 2.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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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