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Simplifying 64r2 + -144r + 81 = 0 Reorder the terms: 81 + -144r + 64r2 = 0 Solving 81 + -144r + 64r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + -8r)(9 + -8r) = 0Subproblem 1
Set the factor '(9 + -8r)' equal to zero and attempt to solve: Simplifying 9 + -8r = 0 Solving 9 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8r = 0 + -9 -8r = 0 + -9 Combine like terms: 0 + -9 = -9 -8r = -9 Divide each side by '-8'. r = 1.125 Simplifying r = 1.125Subproblem 2
Set the factor '(9 + -8r)' equal to zero and attempt to solve: Simplifying 9 + -8r = 0 Solving 9 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8r = 0 + -9 -8r = 0 + -9 Combine like terms: 0 + -9 = -9 -8r = -9 Divide each side by '-8'. r = 1.125 Simplifying r = 1.125Solution
r = {1.125, 1.125}
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