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Simplifying 36t2 + -24tr2 + 4r4 = 0 Reorder the terms: -24r2t + 4r4 + 36t2 = 0 Solving -24r2t + 4r4 + 36t2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6r2t + r4 + 9t2) = 0 Factor a trinomial. 4((r2 + -3t)(r2 + -3t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(r2 + -3t)' equal to zero and attempt to solve: Simplifying r2 + -3t = 0 Solving r2 + -3t = 0 Move all terms containing r to the left, all other terms to the right. Add '3t' to each side of the equation. r2 + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 r2 + 0 = 0 + 3t r2 = 0 + 3t Remove the zero: r2 = 3t Simplifying r2 = 3t 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 '(r2 + -3t)' equal to zero and attempt to solve: Simplifying r2 + -3t = 0 Solving r2 + -3t = 0 Move all terms containing r to the left, all other terms to the right. Add '3t' to each side of the equation. r2 + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 r2 + 0 = 0 + 3t r2 = 0 + 3t Remove the zero: r2 = 3t Simplifying r2 = 3t 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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