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Simplifying (20 + x)(x)(4) = 2304 Reorder the terms for easier multiplication: 4x(20 + x) = 2304 (20 * 4x + x * 4x) = 2304 (80x + 4x2) = 2304 Solving 80x + 4x2 = 2304 Solving for variable 'x'. Reorder the terms: -2304 + 80x + 4x2 = 2304 + -2304 Combine like terms: 2304 + -2304 = 0 -2304 + 80x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-576 + 20x + x2) = 0 Factor a trinomial. 4((-36 + -1x)(16 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-36 + -1x)' equal to zero and attempt to solve: Simplifying -36 + -1x = 0 Solving -36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 0 + 36 -1x = 0 + 36 Combine like terms: 0 + 36 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-36, 16}
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