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Simplifying x(x + 4) = 77m2 Reorder the terms: x(4 + x) = 77m2 (4 * x + x * x) = 77m2 (4x + x2) = 77m2 Solving 4x + x2 = 77m2 Solving for variable 'x'. Reorder the terms: -77m2 + 4x + x2 = 77m2 + -77m2 Combine like terms: 77m2 + -77m2 = 0 -77m2 + 4x + x2 = 0 Factor a trinomial. (-11m + -1x)(7m + -1x) = 0Subproblem 1
Set the factor '(-11m + -1x)' equal to zero and attempt to solve: Simplifying -11m + -1x = 0 Solving -11m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11m' to each side of the equation. -11m + 11m + -1x = 0 + 11m Combine like terms: -11m + 11m = 0 0 + -1x = 0 + 11m -1x = 0 + 11m Remove the zero: -1x = 11m Divide each side by '-1'. x = -11m Simplifying x = -11mSubproblem 2
Set the factor '(7m + -1x)' equal to zero and attempt to solve: Simplifying 7m + -1x = 0 Solving 7m + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7m' to each side of the equation. 7m + -7m + -1x = 0 + -7m Combine like terms: 7m + -7m = 0 0 + -1x = 0 + -7m -1x = 0 + -7m Remove the zero: -1x = -7m Divide each side by '-1'. x = 7m Simplifying x = 7mSolution
x = {-11m, 7m}
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