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Simplifying 81r2 + -126r + 49 = 0 Reorder the terms: 49 + -126r + 81r2 = 0 Solving 49 + -126r + 81r2 = 0 Solving for variable 'r'. Factor a trinomial. (7 + -9r)(7 + -9r) = 0Subproblem 1
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 = 0.7777777778Subproblem 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 = {0.7777777778, 0.7777777778}
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