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Simplifying 64w2 + -144wf + 81f2 = 0 Reorder the terms: -144fw + 81f2 + 64w2 = 0 Solving -144fw + 81f2 + 64w2 = 0 Solving for variable 'f'. Factor a trinomial. (9f + -8w)(9f + -8w) = 0Subproblem 1
Set the factor '(9f + -8w)' equal to zero and attempt to solve: Simplifying 9f + -8w = 0 Solving 9f + -8w = 0 Move all terms containing f to the left, all other terms to the right. Add '8w' to each side of the equation. 9f + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9f + 0 = 0 + 8w 9f = 0 + 8w Remove the zero: 9f = 8w Divide each side by '9'. f = 0.8888888889w Simplifying f = 0.8888888889wSubproblem 2
Set the factor '(9f + -8w)' equal to zero and attempt to solve: Simplifying 9f + -8w = 0 Solving 9f + -8w = 0 Move all terms containing f to the left, all other terms to the right. Add '8w' to each side of the equation. 9f + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9f + 0 = 0 + 8w 9f = 0 + 8w Remove the zero: 9f = 8w Divide each side by '9'. f = 0.8888888889w Simplifying f = 0.8888888889wSolution
f = {0.8888888889w, 0.8888888889w}
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