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Simplifying 5x2 + -20 + 31x + -4 = 180 Reorder the terms: -20 + -4 + 31x + 5x2 = 180 Combine like terms: -20 + -4 = -24 -24 + 31x + 5x2 = 180 Solving -24 + 31x + 5x2 = 180 Solving for variable 'x'. Reorder the terms: -24 + -180 + 31x + 5x2 = 180 + -180 Combine like terms: -24 + -180 = -204 -204 + 31x + 5x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -204 + 31x + 5x2 = 0 Factor a trinomial. (-51 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-51 + -5x)' equal to zero and attempt to solve: Simplifying -51 + -5x = 0 Solving -51 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -5x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -5x = 0 + 51 -5x = 0 + 51 Combine like terms: 0 + 51 = 51 -5x = 51 Divide each side by '-5'. x = -10.2 Simplifying x = -10.2Subproblem 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 = {-10.2, 4}
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