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Simplifying 20x2 + -109x + 45 = 0 Reorder the terms: 45 + -109x + 20x2 = 0 Solving 45 + -109x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -20x)(5 + -1x) = 0Subproblem 1
Set the factor '(9 + -20x)' equal to zero and attempt to solve: Simplifying 9 + -20x = 0 Solving 9 + -20x = 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 + -20x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -20x = 0 + -9 -20x = 0 + -9 Combine like terms: 0 + -9 = -9 -20x = -9 Divide each side by '-20'. x = 0.45 Simplifying x = 0.45Subproblem 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 = {0.45, 5}
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