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Simplifying r4 + 12r2s2 + 36s4 = 0 Reorder the terms: 12r2s2 + r4 + 36s4 = 0 Solving 12r2s2 + r4 + 36s4 = 0 Solving for variable 'r'. Factor a trinomial. (r2 + 6s2)(r2 + 6s2) = 0Subproblem 1
Set the factor '(r2 + 6s2)' equal to zero and attempt to solve: Simplifying r2 + 6s2 = 0 Solving r2 + 6s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-6s2' to each side of the equation. r2 + 6s2 + -6s2 = 0 + -6s2 Combine like terms: 6s2 + -6s2 = 0 r2 + 0 = 0 + -6s2 r2 = 0 + -6s2 Remove the zero: r2 = -6s2 Simplifying r2 = -6s2 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 + 6s2)' equal to zero and attempt to solve: Simplifying r2 + 6s2 = 0 Solving r2 + 6s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-6s2' to each side of the equation. r2 + 6s2 + -6s2 = 0 + -6s2 Combine like terms: 6s2 + -6s2 = 0 r2 + 0 = 0 + -6s2 r2 = 0 + -6s2 Remove the zero: r2 = -6s2 Simplifying r2 = -6s2 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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