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