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Simplifying r4 + 7r2 + 12 = 0 Reorder the terms: 12 + 7r2 + r4 = 0 Solving 12 + 7r2 + r4 = 0 Solving for variable 'r'. Factor a trinomial. (4 + r2)(3 + r2) = 0Subproblem 1
Set the factor '(4 + r2)' equal to zero and attempt to solve: Simplifying 4 + r2 = 0 Solving 4 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r2 = 0 + -4 r2 = 0 + -4 Combine like terms: 0 + -4 = -4 r2 = -4 Simplifying r2 = -4 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 '(3 + r2)' equal to zero and attempt to solve: Simplifying 3 + r2 = 0 Solving 3 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r2 = 0 + -3 r2 = 0 + -3 Combine like terms: 0 + -3 = -3 r2 = -3 Simplifying r2 = -3 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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