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Simplifying -7x2 + 52x + -85 = 0 Reorder the terms: -85 + 52x + -7x2 = 0 Solving -85 + 52x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x)(17 + -7x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(17 + -7x)' equal to zero and attempt to solve: Simplifying 17 + -7x = 0 Solving 17 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 0 + -17 -7x = 0 + -17 Combine like terms: 0 + -17 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429Solution
x = {5, 2.428571429}
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