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Simplifying 81 = 16r4 Solving 81 = 16r4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r4' to each side of the equation. 81 + -16r4 = 16r4 + -16r4 Combine like terms: 16r4 + -16r4 = 0 81 + -16r4 = 0 Add '-81' to each side of the equation. 81 + -81 + -16r4 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -16r4 = 0 + -81 -16r4 = 0 + -81 Combine like terms: 0 + -81 = -81 -16r4 = -81 Divide each side by '-16'. r4 = 5.0625 Simplifying r4 = 5.0625 Reorder the terms: -5.0625 + r4 = 5.0625 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 -5.0625 + r4 = 0.0000 Factor a difference between two squares. (2.25 + r2)(-2.25 + r2) = 0.0000 Factor a difference between two squares. (2.25 + r2)((1.5 + r)(-1.5 + r)) = 0.0000Subproblem 1
Set the factor '(2.25 + r2)' equal to zero and attempt to solve: Simplifying 2.25 + r2 = 0 Solving 2.25 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + r2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + r2 = 0 + -2.25 r2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 r2 = -2.25 Simplifying r2 = -2.25 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 '(1.5 + r)' equal to zero and attempt to solve: Simplifying 1.5 + r = 0 Solving 1.5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + r = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + r = 0 + -1.5 r = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 r = -1.5 Simplifying r = -1.5Subproblem 3
Set the factor '(-1.5 + r)' equal to zero and attempt to solve: Simplifying -1.5 + r = 0 Solving -1.5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + r = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + r = 0 + 1.5 r = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 r = 1.5 Simplifying r = 1.5Solution
r = {-1.5, 1.5}
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