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Simplifying 45x2 + -104x + 19 = 0 Reorder the terms: 19 + -104x + 45x2 = 0 Solving 19 + -104x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -5x)(19 + -9x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(19 + -9x)' equal to zero and attempt to solve: Simplifying 19 + -9x = 0 Solving 19 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 0 + -19 -9x = 0 + -19 Combine like terms: 0 + -19 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111Solution
x = {0.2, 2.111111111}
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