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Simplifying 64s2 + -144sf + 81f2 = 0 Reorder the terms: -144fs + 81f2 + 64s2 = 0 Solving -144fs + 81f2 + 64s2 = 0 Solving for variable 'f'. Factor a trinomial. (9f + -8s)(9f + -8s) = 0Subproblem 1
Set the factor '(9f + -8s)' equal to zero and attempt to solve: Simplifying 9f + -8s = 0 Solving 9f + -8s = 0 Move all terms containing f to the left, all other terms to the right. Add '8s' to each side of the equation. 9f + -8s + 8s = 0 + 8s Combine like terms: -8s + 8s = 0 9f + 0 = 0 + 8s 9f = 0 + 8s Remove the zero: 9f = 8s Divide each side by '9'. f = 0.8888888889s Simplifying f = 0.8888888889sSubproblem 2
Set the factor '(9f + -8s)' equal to zero and attempt to solve: Simplifying 9f + -8s = 0 Solving 9f + -8s = 0 Move all terms containing f to the left, all other terms to the right. Add '8s' to each side of the equation. 9f + -8s + 8s = 0 + 8s Combine like terms: -8s + 8s = 0 9f + 0 = 0 + 8s 9f = 0 + 8s Remove the zero: 9f = 8s Divide each side by '9'. f = 0.8888888889s Simplifying f = 0.8888888889sSolution
f = {0.8888888889s, 0.8888888889s}
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