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Simplifying 7x2 = 70x + -175 Reorder the terms: 7x2 = -175 + 70x Solving 7x2 = -175 + 70x Solving for variable 'x'. Reorder the terms: 175 + -70x + 7x2 = -175 + 70x + 175 + -70x Reorder the terms: 175 + -70x + 7x2 = -175 + 175 + 70x + -70x Combine like terms: -175 + 175 = 0 175 + -70x + 7x2 = 0 + 70x + -70x 175 + -70x + 7x2 = 70x + -70x Combine like terms: 70x + -70x = 0 175 + -70x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(25 + -10x + x2) = 0 Factor a trinomial. 7((5 + -1x)(5 + -1x)) = 0 Ignore the factor 7.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 '(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 = {5, 5}
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