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Simplifying 5x2 + 175 = 60x Reorder the terms: 175 + 5x2 = 60x Solving 175 + 5x2 = 60x Solving for variable 'x'. Reorder the terms: 175 + -60x + 5x2 = 60x + -60x Combine like terms: 60x + -60x = 0 175 + -60x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(35 + -12x + x2) = 0 Factor a trinomial. 5((5 + -1x)(7 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = 5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {5, 7}
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