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Simplifying 25r2 + -90r + 81 = 0 Reorder the terms: 81 + -90r + 25r2 = 0 Solving 81 + -90r + 25r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + -5r)(9 + -5r) = 0Subproblem 1
Set the factor '(9 + -5r)' equal to zero and attempt to solve: Simplifying 9 + -5r = 0 Solving 9 + -5r = 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 + -5r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5r = 0 + -9 -5r = 0 + -9 Combine like terms: 0 + -9 = -9 -5r = -9 Divide each side by '-5'. r = 1.8 Simplifying r = 1.8Subproblem 2
Set the factor '(9 + -5r)' equal to zero and attempt to solve: Simplifying 9 + -5r = 0 Solving 9 + -5r = 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 + -5r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5r = 0 + -9 -5r = 0 + -9 Combine like terms: 0 + -9 = -9 -5r = -9 Divide each side by '-5'. r = 1.8 Simplifying r = 1.8Solution
r = {1.8, 1.8}
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