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Simplifying 19x2 + -90x + -25 = 0 Reorder the terms: -25 + -90x + 19x2 = 0 Solving -25 + -90x + 19x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -19x)(5 + -1x) = 0Subproblem 1
Set the factor '(-5 + -19x)' equal to zero and attempt to solve: Simplifying -5 + -19x = 0 Solving -5 + -19x = 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 + -19x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 0 + 5 -19x = 0 + 5 Combine like terms: 0 + 5 = 5 -19x = 5 Divide each side by '-19'. x = -0.2631578947 Simplifying x = -0.2631578947Subproblem 2
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 = 5Solution
x = {-0.2631578947, 5}
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