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Simplifying 64k2 + -128km + 63m2 = 0 Reorder the terms: -128km + 64k2 + 63m2 = 0 Solving -128km + 64k2 + 63m2 = 0 Solving for variable 'k'. Factor a trinomial. (8k + -9m)(8k + -7m) = 0Subproblem 1
Set the factor '(8k + -9m)' equal to zero and attempt to solve: Simplifying 8k + -9m = 0 Solving 8k + -9m = 0 Move all terms containing k to the left, all other terms to the right. Add '9m' to each side of the equation. 8k + -9m + 9m = 0 + 9m Combine like terms: -9m + 9m = 0 8k + 0 = 0 + 9m 8k = 0 + 9m Remove the zero: 8k = 9m Divide each side by '8'. k = 1.125m Simplifying k = 1.125mSubproblem 2
Set the factor '(8k + -7m)' equal to zero and attempt to solve: Simplifying 8k + -7m = 0 Solving 8k + -7m = 0 Move all terms containing k to the left, all other terms to the right. Add '7m' to each side of the equation. 8k + -7m + 7m = 0 + 7m Combine like terms: -7m + 7m = 0 8k + 0 = 0 + 7m 8k = 0 + 7m Remove the zero: 8k = 7m Divide each side by '8'. k = 0.875m Simplifying k = 0.875mSolution
k = {1.125m, 0.875m}
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