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Simplifying 16r4 + 24r2 + 9 = 0 Reorder the terms: 9 + 24r2 + 16r4 = 0 Solving 9 + 24r2 + 16r4 = 0 Solving for variable 'r'. Factor a trinomial. (3 + 4r2)(3 + 4r2) = 0Subproblem 1
Set the factor '(3 + 4r2)' equal to zero and attempt to solve: Simplifying 3 + 4r2 = 0 Solving 3 + 4r2 = 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 + 4r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4r2 = 0 + -3 4r2 = 0 + -3 Combine like terms: 0 + -3 = -3 4r2 = -3 Divide each side by '4'. r2 = -0.75 Simplifying r2 = -0.75 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 + 4r2)' equal to zero and attempt to solve: Simplifying 3 + 4r2 = 0 Solving 3 + 4r2 = 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 + 4r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4r2 = 0 + -3 4r2 = 0 + -3 Combine like terms: 0 + -3 = -3 4r2 = -3 Divide each side by '4'. r2 = -0.75 Simplifying r2 = -0.75 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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