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Simplifying 5x2 = 17x + 40 Reorder the terms: 5x2 = 40 + 17x Solving 5x2 = 40 + 17x Solving for variable 'x'. Reorder the terms: -40 + -17x + 5x2 = 40 + 17x + -40 + -17x Reorder the terms: -40 + -17x + 5x2 = 40 + -40 + 17x + -17x Combine like terms: 40 + -40 = 0 -40 + -17x + 5x2 = 0 + 17x + -17x -40 + -17x + 5x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -40 + -17x + 5x2 = 0 Factor a trinomial. (-8 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 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 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, 5}
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