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Simplifying 9r2 + 79r + 56 = 0 Reorder the terms: 56 + 79r + 9r2 = 0 Solving 56 + 79r + 9r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + r)(7 + 9r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
Set the factor '(7 + 9r)' equal to zero and attempt to solve: Simplifying 7 + 9r = 0 Solving 7 + 9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9r = 0 + -7 9r = 0 + -7 Combine like terms: 0 + -7 = -7 9r = -7 Divide each side by '9'. r = -0.7777777778 Simplifying r = -0.7777777778Solution
r = {-8, -0.7777777778}
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