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Simplifying 5x2 + -60x = -180 Reorder the terms: -60x + 5x2 = -180 Solving -60x + 5x2 = -180 Solving for variable 'x'. Reorder the terms: 180 + -60x + 5x2 = -180 + 180 Combine like terms: -180 + 180 = 0 180 + -60x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(36 + -12x + x2) = 0 Factor a trinomial. 5((6 + -1x)(6 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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