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Simplifying 5x2 + -2x = 88 Reorder the terms: -2x + 5x2 = 88 Solving -2x + 5x2 = 88 Solving for variable 'x'. Reorder the terms: -88 + -2x + 5x2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + -2x + 5x2 = 0 Factor a trinomial. (-4 + -1x)(22 + -5x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Solution
x = {-4, 4.4}
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