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Simplifying 45x2 + -41x + -72 = 0 Reorder the terms: -72 + -41x + 45x2 = 0 Solving -72 + -41x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -9x)(9 + -5x) = 0Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 2
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 = 1.8Solution
x = {-0.8888888889, 1.8}
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