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Simplifying 16r4 + -625 = 0 Reorder the terms: -625 + 16r4 = 0 Solving -625 + 16r4 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + 16r4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + 16r4 = 0 + 625 16r4 = 0 + 625 Combine like terms: 0 + 625 = 625 16r4 = 625 Divide each side by '16'. r4 = 39.0625 Simplifying r4 = 39.0625 Reorder the terms: -39.0625 + r4 = 39.0625 + -39.0625 Combine like terms: 39.0625 + -39.0625 = 0.0000 -39.0625 + r4 = 0.0000 Factor a difference between two squares. (6.25 + r2)(-6.25 + r2) = 0.0000 Factor a difference between two squares. (6.25 + r2)((2.5 + r)(-2.5 + r)) = 0.0000Subproblem 1
Set the factor '(6.25 + r2)' equal to zero and attempt to solve: Simplifying 6.25 + r2 = 0 Solving 6.25 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + r2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + r2 = 0 + -6.25 r2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 r2 = -6.25 Simplifying r2 = -6.25 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 '(2.5 + r)' equal to zero and attempt to solve: Simplifying 2.5 + r = 0 Solving 2.5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + r = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + r = 0 + -2.5 r = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 r = -2.5 Simplifying r = -2.5Subproblem 3
Set the factor '(-2.5 + r)' equal to zero and attempt to solve: Simplifying -2.5 + r = 0 Solving -2.5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + r = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + r = 0 + 2.5 r = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 r = 2.5 Simplifying r = 2.5Solution
r = {-2.5, 2.5}
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