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Simplifying 7r4 + 14r2 + 7 = 0 Reorder the terms: 7 + 14r2 + 7r4 = 0 Solving 7 + 14r2 + 7r4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7'. 7(1 + 2r2 + r4) = 0 Factor a trinomial. 7((1 + r2)(1 + r2)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + r2)' equal to zero and attempt to solve: Simplifying 1 + r2 = 0 Solving 1 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r2 = 0 + -1 r2 = 0 + -1 Combine like terms: 0 + -1 = -1 r2 = -1 Simplifying r2 = -1 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 '(1 + r2)' equal to zero and attempt to solve: Simplifying 1 + r2 = 0 Solving 1 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r2 = 0 + -1 r2 = 0 + -1 Combine like terms: 0 + -1 = -1 r2 = -1 Simplifying r2 = -1 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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