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Simplifying 175 = 5x2 + 10x Reorder the terms: 175 = 10x + 5x2 Solving 175 = 10x + 5x2 Solving for variable 'x'. Reorder the terms: 175 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 175 + -10x + -5x2 = 0 + 5x2 + -5x2 175 + -10x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 175 + -10x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(35 + -2x + -1x2) = 0 Factor a trinomial. 5((5 + -1x)(7 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {5, -7}
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