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Simplifying 2x2 + -23x + 40 = -1x2 Reorder the terms: 40 + -23x + 2x2 = -1x2 Solving 40 + -23x + 2x2 = -1x2 Solving for variable 'x'. Combine like terms: 2x2 + x2 = 3x2 40 + -23x + 3x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 40 + -23x + 3x2 = 0 Factor a trinomial. (8 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {2.666666667, 5}
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