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Simplifying 72 = x(5x + -31) Reorder the terms: 72 = x(-31 + 5x) 72 = (-31 * x + 5x * x) 72 = (-31x + 5x2) Solving 72 = -31x + 5x2 Solving for variable 'x'. Reorder the terms: 72 + 31x + -5x2 = -31x + 31x + 5x2 + -5x2 Combine like terms: -31x + 31x = 0 72 + 31x + -5x2 = 0 + 5x2 + -5x2 72 + 31x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 72 + 31x + -5x2 = 0 Factor a trinomial. (8 + -1x)(9 + 5x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {8, -1.8}
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