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Simplifying (20 + -1x) * x = 64 Reorder the terms for easier multiplication: x(20 + -1x) = 64 (20 * x + -1x * x) = 64 (20x + -1x2) = 64 Solving 20x + -1x2 = 64 Solving for variable 'x'. Reorder the terms: -64 + 20x + -1x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 20x + -1x2 = 0 Factor a trinomial. (-16 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 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 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {16, 4}
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