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Simplifying r6 + 19r3 + -216 = 0 Reorder the terms: -216 + 19r3 + r6 = 0 Solving -216 + 19r3 + r6 = 0 Solving for variable 'r'. Factor a trinomial. (-27 + -1r3)(8 + -1r3) = 0Subproblem 1
Set the factor '(-27 + -1r3)' equal to zero and attempt to solve: Simplifying -27 + -1r3 = 0 Solving -27 + -1r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1r3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1r3 = 0 + 27 -1r3 = 0 + 27 Combine like terms: 0 + 27 = 27 -1r3 = 27 Divide each side by '-1'. r3 = -27 Simplifying r3 = -27 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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