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Simplifying 32 + -20x = 8x + -5x2 Solving 32 + -20x = 8x + -5x2 Solving for variable 'x'. Combine like terms: -20x + -8x = -28x 32 + -28x + 5x2 = 8x + -5x2 + -8x + 5x2 Reorder the terms: 32 + -28x + 5x2 = 8x + -8x + -5x2 + 5x2 Combine like terms: 8x + -8x = 0 32 + -28x + 5x2 = 0 + -5x2 + 5x2 32 + -28x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 32 + -28x + 5x2 = 0 Factor a trinomial. (8 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 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 = {1.6, 4}
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