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Simplifying 0 = 9x2 + -40x + -25 Reorder the terms: 0 = -25 + -40x + 9x2 Solving 0 = -25 + -40x + 9x2 Solving for variable 'x'. Combine like terms: 0 + 25 = 25 25 + 40x + -9x2 = -25 + -40x + 9x2 + 25 + 40x + -9x2 Reorder the terms: 25 + 40x + -9x2 = -25 + 25 + -40x + 40x + 9x2 + -9x2 Combine like terms: -25 + 25 = 0 25 + 40x + -9x2 = 0 + -40x + 40x + 9x2 + -9x2 25 + 40x + -9x2 = -40x + 40x + 9x2 + -9x2 Combine like terms: -40x + 40x = 0 25 + 40x + -9x2 = 0 + 9x2 + -9x2 25 + 40x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25 + 40x + -9x2 = 0 Factor a trinomial. (5 + -1x)(5 + 9x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, -0.5555555556}
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