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Simplifying (r * r * r + -8)(r * r * r + -1) = 0 Multiply r * r (r2 * r + -8)(r * r * r + -1) = 0 Multiply r2 * r (r3 + -8)(r * r * r + -1) = 0 Reorder the terms: (-8 + r3)(r * r * r + -1) = 0 Multiply r * r (-8 + r3)(r2 * r + -1) = 0 Multiply r2 * r (-8 + r3)(r3 + -1) = 0 Reorder the terms: (-8 + r3)(-1 + r3) = 0 Multiply (-8 + r3) * (-1 + r3) (-8(-1 + r3) + r3(-1 + r3)) = 0 ((-1 * -8 + r3 * -8) + r3(-1 + r3)) = 0 ((8 + -8r3) + r3(-1 + r3)) = 0 (8 + -8r3 + (-1 * r3 + r3 * r3)) = 0 (8 + -8r3 + (-1r3 + r6)) = 0 Combine like terms: -8r3 + -1r3 = -9r3 (8 + -9r3 + r6) = 0 Solving 8 + -9r3 + r6 = 0 Solving for variable 'r'. Factor a trinomial. (1 + -1r3)(8 + -1r3) = 0Subproblem 1
Set the factor '(1 + -1r3)' equal to zero and attempt to solve: Simplifying 1 + -1r3 = 0 Solving 1 + -1r3 = 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 + -1r3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r3 = 0 + -1 -1r3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1r3 = -1 Divide each side by '-1'. r3 = 1 Simplifying r3 = 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 '(8 + -1r3)' equal to zero and attempt to solve: Simplifying 8 + -1r3 = 0 Solving 8 + -1r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r3 = 0 + -8 -1r3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1r3 = -8 Divide each side by '-1'. r3 = 8 Simplifying r3 = 8 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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