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Simplifying x2 + 17x = 60m2 Reorder the terms: 17x + x2 = 60m2 Solving 17x + x2 = 60m2 Solving for variable 'x'. Reorder the terms: -60m2 + 17x + x2 = 60m2 + -60m2 Combine like terms: 60m2 + -60m2 = 0 -60m2 + 17x + x2 = 0 Factor a trinomial. (-20m + -1x)(3m + -1x) = 0Subproblem 1
Set the factor '(-20m + -1x)' equal to zero and attempt to solve: Simplifying -20m + -1x = 0 Solving -20m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20m' to each side of the equation. -20m + 20m + -1x = 0 + 20m Combine like terms: -20m + 20m = 0 0 + -1x = 0 + 20m -1x = 0 + 20m Remove the zero: -1x = 20m Divide each side by '-1'. x = -20m Simplifying x = -20mSubproblem 2
Set the factor '(3m + -1x)' equal to zero and attempt to solve: Simplifying 3m + -1x = 0 Solving 3m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3m' to each side of the equation. 3m + -3m + -1x = 0 + -3m Combine like terms: 3m + -3m = 0 0 + -1x = 0 + -3m -1x = 0 + -3m Remove the zero: -1x = -3m Divide each side by '-1'. x = 3m Simplifying x = 3mSolution
x = {-20m, 3m}
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