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Simplifying 49r2 + -112rf + 64f2 = 0 Reorder the terms: -112fr + 64f2 + 49r2 = 0 Solving -112fr + 64f2 + 49r2 = 0 Solving for variable 'f'. Factor a trinomial. (8f + -7r)(8f + -7r) = 0Subproblem 1
Set the factor '(8f + -7r)' equal to zero and attempt to solve: Simplifying 8f + -7r = 0 Solving 8f + -7r = 0 Move all terms containing f to the left, all other terms to the right. Add '7r' to each side of the equation. 8f + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 8f + 0 = 0 + 7r 8f = 0 + 7r Remove the zero: 8f = 7r Divide each side by '8'. f = 0.875r Simplifying f = 0.875rSubproblem 2
Set the factor '(8f + -7r)' equal to zero and attempt to solve: Simplifying 8f + -7r = 0 Solving 8f + -7r = 0 Move all terms containing f to the left, all other terms to the right. Add '7r' to each side of the equation. 8f + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 8f + 0 = 0 + 7r 8f = 0 + 7r Remove the zero: 8f = 7r Divide each side by '8'. f = 0.875r Simplifying f = 0.875rSolution
f = {0.875r, 0.875r}
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