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Simplifying 5x2 + 3x + 88 = 180 Reorder the terms: 88 + 3x + 5x2 = 180 Solving 88 + 3x + 5x2 = 180 Solving for variable 'x'. Reorder the terms: 88 + -180 + 3x + 5x2 = 180 + -180 Combine like terms: 88 + -180 = -92 -92 + 3x + 5x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -92 + 3x + 5x2 = 0 Factor a trinomial. (-23 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-23 + -5x)' equal to zero and attempt to solve: Simplifying -23 + -5x = 0 Solving -23 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -5x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 0 + 23 -5x = 0 + 23 Combine like terms: 0 + 23 = 23 -5x = 23 Divide each side by '-5'. x = -4.6 Simplifying x = -4.6Subproblem 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 = {-4.6, 4}
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