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Simplifying 72X2 + -5X + -25 = 0 Reorder the terms: -25 + -5X + 72X2 = 0 Solving -25 + -5X + 72X2 = 0 Solving for variable 'X'. Factor a trinomial. (-5 + -9X)(5 + -8X) = 0Subproblem 1
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 = -0.5555555556Subproblem 2
Set the factor '(5 + -8X)' equal to zero and attempt to solve: Simplifying 5 + -8X = 0 Solving 5 + -8X = 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 + -8X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8X = 0 + -5 -8X = 0 + -5 Combine like terms: 0 + -5 = -5 -8X = -5 Divide each side by '-8'. X = 0.625 Simplifying X = 0.625Solution
X = {-0.5555555556, 0.625}
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