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Simplifying (10 + 2x)(8 + 2x) + -80 = 0 Multiply (10 + 2x) * (8 + 2x) (10(8 + 2x) + 2x * (8 + 2x)) + -80 = 0 ((8 * 10 + 2x * 10) + 2x * (8 + 2x)) + -80 = 0 ((80 + 20x) + 2x * (8 + 2x)) + -80 = 0 (80 + 20x + (8 * 2x + 2x * 2x)) + -80 = 0 (80 + 20x + (16x + 4x2)) + -80 = 0 Combine like terms: 20x + 16x = 36x (80 + 36x + 4x2) + -80 = 0 Reorder the terms: 80 + -80 + 36x + 4x2 = 0 Combine like terms: 80 + -80 = 0 0 + 36x + 4x2 = 0 36x + 4x2 = 0 Solving 36x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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