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Simplifying -64k9 + 36k7 = 0 Reorder the terms: 36k7 + -64k9 = 0 Solving 36k7 + -64k9 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k7'. 4k7(9 + -16k2) = 0 Factor a difference between two squares. 4k7((3 + 4k)(3 + -4k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'k7' equal to zero and attempt to solve: Simplifying k7 = 0 Solving k7 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 4k)' equal to zero and attempt to solve: Simplifying 3 + 4k = 0 Solving 3 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 0 + -3 4k = 0 + -3 Combine like terms: 0 + -3 = -3 4k = -3 Divide each side by '4'. k = -0.75 Simplifying k = -0.75Subproblem 3
Set the factor '(3 + -4k)' equal to zero and attempt to solve: Simplifying 3 + -4k = 0 Solving 3 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = 0 + -3 -4k = 0 + -3 Combine like terms: 0 + -3 = -3 -4k = -3 Divide each side by '-4'. k = 0.75 Simplifying k = 0.75Solution
k = {-0.75, 0.75}
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