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Simplifying (48 + 2x)(72 + 2x) + -3456 = 0 Multiply (48 + 2x) * (72 + 2x) (48(72 + 2x) + 2x * (72 + 2x)) + -3456 = 0 ((72 * 48 + 2x * 48) + 2x * (72 + 2x)) + -3456 = 0 ((3456 + 96x) + 2x * (72 + 2x)) + -3456 = 0 (3456 + 96x + (72 * 2x + 2x * 2x)) + -3456 = 0 (3456 + 96x + (144x + 4x2)) + -3456 = 0 Combine like terms: 96x + 144x = 240x (3456 + 240x + 4x2) + -3456 = 0 Reorder the terms: 3456 + -3456 + 240x + 4x2 = 0 Combine like terms: 3456 + -3456 = 0 0 + 240x + 4x2 = 0 240x + 4x2 = 0 Solving 240x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(60 + 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 '(60 + x)' equal to zero and attempt to solve: Simplifying 60 + x = 0 Solving 60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + x = 0 + -60 x = 0 + -60 Combine like terms: 0 + -60 = -60 x = -60 Simplifying x = -60Solution
x = {0, -60}
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