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Simplifying 9r4 + -16r2f4 = 0 Reorder the terms: -16f4r2 + 9r4 = 0 Solving -16f4r2 + 9r4 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9r4' to each side of the equation. -16f4r2 + 9r4 + -9r4 = 0 + -9r4 Combine like terms: 9r4 + -9r4 = 0 -16f4r2 + 0 = 0 + -9r4 -16f4r2 = 0 + -9r4 Remove the zero: -16f4r2 = -9r4 Divide each side by '-16r2'. f4 = 0.5625r2 Simplifying f4 = 0.5625r2 Combine like terms: 0.5625r2 + -0.5625r2 = 0.0000 f4 + -0.5625r2 = 0.0000 Factor a difference between two squares. (f2 + 0.75r)(f2 + -0.75r) = 0.0000Subproblem 1
Set the factor '(f2 + 0.75r)' equal to zero and attempt to solve: Simplifying f2 + 0.75r = 0 Solving f2 + 0.75r = 0 Move all terms containing f to the left, all other terms to the right. Add '-0.75r' to each side of the equation. f2 + 0.75r + -0.75r = 0 + -0.75r Combine like terms: 0.75r + -0.75r = 0.00 f2 + 0.00 = 0 + -0.75r f2 = 0 + -0.75r Remove the zero: f2 = -0.75r Simplifying f2 = -0.75r 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 '(f2 + -0.75r)' equal to zero and attempt to solve: Simplifying f2 + -0.75r = 0 Solving f2 + -0.75r = 0 Move all terms containing f to the left, all other terms to the right. Add '0.75r' to each side of the equation. f2 + -0.75r + 0.75r = 0 + 0.75r Combine like terms: -0.75r + 0.75r = 0.00 f2 + 0.00 = 0 + 0.75r f2 = 0 + 0.75r Remove the zero: f2 = 0.75r Simplifying f2 = 0.75r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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