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Simplifying 16q8 + -25r2 = 0 Solving 16q8 + -25r2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '25r2' to each side of the equation. 16q8 + -25r2 + 25r2 = 0 + 25r2 Combine like terms: -25r2 + 25r2 = 0 16q8 + 0 = 0 + 25r2 16q8 = 0 + 25r2 Remove the zero: 16q8 = 25r2 Divide each side by '16'. q8 = 1.5625r2 Simplifying q8 = 1.5625r2 Combine like terms: 1.5625r2 + -1.5625r2 = 0.0000 q8 + -1.5625r2 = 0.0000 Factor a difference between two squares. (q4 + 1.25r)(q4 + -1.25r) = 0.0000Subproblem 1
Set the factor '(q4 + 1.25r)' equal to zero and attempt to solve: Simplifying q4 + 1.25r = 0 Solving q4 + 1.25r = 0 Move all terms containing q to the left, all other terms to the right. Add '-1.25r' to each side of the equation. q4 + 1.25r + -1.25r = 0 + -1.25r Combine like terms: 1.25r + -1.25r = 0.00 q4 + 0.00 = 0 + -1.25r q4 = 0 + -1.25r Remove the zero: q4 = -1.25r Simplifying q4 = -1.25r 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 '(q4 + -1.25r)' equal to zero and attempt to solve: Simplifying q4 + -1.25r = 0 Solving q4 + -1.25r = 0 Move all terms containing q to the left, all other terms to the right. Add '1.25r' to each side of the equation. q4 + -1.25r + 1.25r = 0 + 1.25r Combine like terms: -1.25r + 1.25r = 0.00 q4 + 0.00 = 0 + 1.25r q4 = 0 + 1.25r Remove the zero: q4 = 1.25r Simplifying q4 = 1.25r 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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