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Simplifying x(x + 7) = 30m2 Reorder the terms: x(7 + x) = 30m2 (7 * x + x * x) = 30m2 (7x + x2) = 30m2 Solving 7x + x2 = 30m2 Solving for variable 'x'. Reorder the terms: -30m2 + 7x + x2 = 30m2 + -30m2 Combine like terms: 30m2 + -30m2 = 0 -30m2 + 7x + x2 = 0 Factor a trinomial. (-10m + -1x)(3m + -1x) = 0Subproblem 1
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 = -10mSubproblem 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 = {-10m, 3m}
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