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Simplifying 0 = 2x2 + -23x + 60 Reorder the terms: 0 = 60 + -23x + 2x2 Solving 0 = 60 + -23x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -60 = -60 -60 + 23x + -2x2 = 60 + -23x + 2x2 + -60 + 23x + -2x2 Reorder the terms: -60 + 23x + -2x2 = 60 + -60 + -23x + 23x + 2x2 + -2x2 Combine like terms: 60 + -60 = 0 -60 + 23x + -2x2 = 0 + -23x + 23x + 2x2 + -2x2 -60 + 23x + -2x2 = -23x + 23x + 2x2 + -2x2 Combine like terms: -23x + 23x = 0 -60 + 23x + -2x2 = 0 + 2x2 + -2x2 -60 + 23x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -60 + 23x + -2x2 = 0 Factor a trinomial. (-15 + 2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-15 + 2x)' equal to zero and attempt to solve: Simplifying -15 + 2x = 0 Solving -15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5Subproblem 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 = {7.5, 4}
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