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Simplifying 25x2 + 91x + 81 = x Reorder the terms: 81 + 91x + 25x2 = x Solving 81 + 91x + 25x2 = x Solving for variable 'x'. Reorder the terms: 81 + 91x + -1x + 25x2 = x + -1x Combine like terms: 91x + -1x = 90x 81 + 90x + 25x2 = x + -1x Combine like terms: x + -1x = 0 81 + 90x + 25x2 = 0 Factor a trinomial. (9 + 5x)(9 + 5x) = 0Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {-1.8, -1.8}
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