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Simplifying 9r2 + -84 = r Reorder the terms: -84 + 9r2 = r Solving -84 + 9r2 = r Solving for variable 'r'. Reorder the terms: -84 + -1r + 9r2 = r + -1r Combine like terms: r + -1r = 0 -84 + -1r + 9r2 = 0 Factor a trinomial. (-3 + -1r)(28 + -9r) = 0Subproblem 1
Set the factor '(-3 + -1r)' equal to zero and attempt to solve: Simplifying -3 + -1r = 0 Solving -3 + -1r = 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 + -1r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1r = 0 + 3 -1r = 0 + 3 Combine like terms: 0 + 3 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3Subproblem 2
Set the factor '(28 + -9r)' equal to zero and attempt to solve: Simplifying 28 + -9r = 0 Solving 28 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -9r = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9r = 0 + -28 -9r = 0 + -28 Combine like terms: 0 + -28 = -28 -9r = -28 Divide each side by '-9'. r = 3.111111111 Simplifying r = 3.111111111Solution
r = {-3, 3.111111111}
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