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Simplifying x(x + 6) = 40m2 Reorder the terms: x(6 + x) = 40m2 (6 * x + x * x) = 40m2 (6x + x2) = 40m2 Solving 6x + x2 = 40m2 Solving for variable 'x'. Reorder the terms: -40m2 + 6x + x2 = 40m2 + -40m2 Combine like terms: 40m2 + -40m2 = 0 -40m2 + 6x + x2 = 0 Factor a trinomial. (-10m + -1x)(4m + -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 '(4m + -1x)' equal to zero and attempt to solve: Simplifying 4m + -1x = 0 Solving 4m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4m' to each side of the equation. 4m + -4m + -1x = 0 + -4m Combine like terms: 4m + -4m = 0 0 + -1x = 0 + -4m -1x = 0 + -4m Remove the zero: -1x = -4m Divide each side by '-1'. x = 4m Simplifying x = 4mSolution
x = {-10m, 4m}
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