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Simplifying 25x2 + 90xr + 81r2 = 0 Reorder the terms: 90rx + 81r2 + 25x2 = 0 Solving 90rx + 81r2 + 25x2 = 0 Solving for variable 'r'. Factor a trinomial. (9r + 5x)(9r + 5x) = 0Subproblem 1
Set the factor '(9r + 5x)' equal to zero and attempt to solve: Simplifying 9r + 5x = 0 Solving 9r + 5x = 0 Move all terms containing r to the left, all other terms to the right. Add '-5x' to each side of the equation. 9r + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 9r + 0 = 0 + -5x 9r = 0 + -5x Remove the zero: 9r = -5x Divide each side by '9'. r = -0.5555555556x Simplifying r = -0.5555555556xSubproblem 2
Set the factor '(9r + 5x)' equal to zero and attempt to solve: Simplifying 9r + 5x = 0 Solving 9r + 5x = 0 Move all terms containing r to the left, all other terms to the right. Add '-5x' to each side of the equation. 9r + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 9r + 0 = 0 + -5x 9r = 0 + -5x Remove the zero: 9r = -5x Divide each side by '9'. r = -0.5555555556x Simplifying r = -0.5555555556xSolution
r = {-0.5555555556x, -0.5555555556x}
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