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Simplifying 45X2 + 56X + -45 = 0 Reorder the terms: -45 + 56X + 45X2 = 0 Solving -45 + 56X + 45X2 = 0 Solving for variable 'X'. Factor a trinomial. (-9 + -5X)(5 + -9X) = 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 '(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 = {-1.8, 0.5555555556}
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