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Simplifying 5x2 = -8x + 112 Reorder the terms: 5x2 = 112 + -8x Solving 5x2 = 112 + -8x Solving for variable 'x'. Reorder the terms: -112 + 8x + 5x2 = 112 + -8x + -112 + 8x Reorder the terms: -112 + 8x + 5x2 = 112 + -112 + -8x + 8x Combine like terms: 112 + -112 = 0 -112 + 8x + 5x2 = 0 + -8x + 8x -112 + 8x + 5x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -112 + 8x + 5x2 = 0 Factor a trinomial. (-28 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-28 + -5x)' equal to zero and attempt to solve: Simplifying -28 + -5x = 0 Solving -28 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -5x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 0 + 28 -5x = 0 + 28 Combine like terms: 0 + 28 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6Subproblem 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 = {-5.6, 4}
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