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Simplifying (X + -8)(X + -4) = 32 Reorder the terms: (-8 + X)(X + -4) = 32 Reorder the terms: (-8 + X)(-4 + X) = 32 Multiply (-8 + X) * (-4 + X) (-8(-4 + X) + X(-4 + X)) = 32 ((-4 * -8 + X * -8) + X(-4 + X)) = 32 ((32 + -8X) + X(-4 + X)) = 32 (32 + -8X + (-4 * X + X * X)) = 32 (32 + -8X + (-4X + X2)) = 32 Combine like terms: -8X + -4X = -12X (32 + -12X + X2) = 32 Add '-32' to each side of the equation. 32 + -12X + -32 + X2 = 32 + -32 Reorder the terms: 32 + -32 + -12X + X2 = 32 + -32 Combine like terms: 32 + -32 = 0 0 + -12X + X2 = 32 + -32 -12X + X2 = 32 + -32 Combine like terms: 32 + -32 = 0 -12X + X2 = 0 Solving -12X + X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-12 + X) = 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 '(-12 + X)' equal to zero and attempt to solve: Simplifying -12 + X = 0 Solving -12 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + X = 0 + 12 Combine like terms: -12 + 12 = 0 0 + X = 0 + 12 X = 0 + 12 Combine like terms: 0 + 12 = 12 X = 12 Simplifying X = 12Solution
X = {0, 12}
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