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Simplifying 4r4 + 24r2 + 5r2 + 30 = 0 Reorder the terms: 30 + 24r2 + 5r2 + 4r4 = 0 Combine like terms: 24r2 + 5r2 = 29r2 30 + 29r2 + 4r4 = 0 Solving 30 + 29r2 + 4r4 = 0 Solving for variable 'r'. Factor a trinomial. (6 + r2)(5 + 4r2) = 0Subproblem 1
Set the factor '(6 + r2)' equal to zero and attempt to solve: Simplifying 6 + r2 = 0 Solving 6 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r2 = 0 + -6 r2 = 0 + -6 Combine like terms: 0 + -6 = -6 r2 = -6 Simplifying r2 = -6 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 '(5 + 4r2)' equal to zero and attempt to solve: Simplifying 5 + 4r2 = 0 Solving 5 + 4r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4r2 = 0 + -5 4r2 = 0 + -5 Combine like terms: 0 + -5 = -5 4r2 = -5 Divide each side by '4'. r2 = -1.25 Simplifying r2 = -1.25 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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