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Simplifying 8r4 + 32r2 + 32 = 0 Reorder the terms: 32 + 32r2 + 8r4 = 0 Solving 32 + 32r2 + 8r4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '8'. 8(4 + 4r2 + r4) = 0 Factor a trinomial. 8((2 + r2)(2 + r2)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(2 + r2)' equal to zero and attempt to solve: Simplifying 2 + r2 = 0 Solving 2 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r2 = 0 + -2 r2 = 0 + -2 Combine like terms: 0 + -2 = -2 r2 = -2 Simplifying r2 = -2 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 + r2)' equal to zero and attempt to solve: Simplifying 2 + r2 = 0 Solving 2 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r2 = 0 + -2 r2 = 0 + -2 Combine like terms: 0 + -2 = -2 r2 = -2 Simplifying r2 = -2 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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