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Simplifying (x + 5)(x) = 150m2 Reorder the terms: (5 + x)(x) = 150m2 Reorder the terms for easier multiplication: x(5 + x) = 150m2 (5 * x + x * x) = 150m2 (5x + x2) = 150m2 Solving 5x + x2 = 150m2 Solving for variable 'x'. Reorder the terms: -150m2 + 5x + x2 = 150m2 + -150m2 Combine like terms: 150m2 + -150m2 = 0 -150m2 + 5x + x2 = 0 Factor a trinomial. (-15m + -1x)(10m + -1x) = 0Subproblem 1
Set the factor '(-15m + -1x)' equal to zero and attempt to solve: Simplifying -15m + -1x = 0 Solving -15m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15m' to each side of the equation. -15m + 15m + -1x = 0 + 15m Combine like terms: -15m + 15m = 0 0 + -1x = 0 + 15m -1x = 0 + 15m Remove the zero: -1x = 15m Divide each side by '-1'. x = -15m Simplifying x = -15mSubproblem 2
Set the factor '(10m + -1x)' equal to zero and attempt to solve: Simplifying 10m + -1x = 0 Solving 10m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10m' to each side of the equation. 10m + -10m + -1x = 0 + -10m Combine like terms: 10m + -10m = 0 0 + -1x = 0 + -10m -1x = 0 + -10m Remove the zero: -1x = -10m Divide each side by '-1'. x = 10m Simplifying x = 10mSolution
x = {-15m, 10m}
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