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Simplifying 25x2 = 90x + -81 Reorder the terms: 25x2 = -81 + 90x Solving 25x2 = -81 + 90x Solving for variable 'x'. Reorder the terms: 81 + -90x + 25x2 = -81 + 90x + 81 + -90x Reorder the terms: 81 + -90x + 25x2 = -81 + 81 + 90x + -90x Combine like terms: -81 + 81 = 0 81 + -90x + 25x2 = 0 + 90x + -90x 81 + -90x + 25x2 = 90x + -90x Combine like terms: 90x + -90x = 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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