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Simplifying r6 + -16r3 + 64 = 0 Reorder the terms: 64 + -16r3 + r6 = 0 Solving 64 + -16r3 + r6 = 0 Solving for variable 'r'. Factor a trinomial. (8 + -1r3)(8 + -1r3) = 0Subproblem 1
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.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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