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Simplifying 5x2 + -89x + -900 = 0 Reorder the terms: -900 + -89x + 5x2 = 0 Solving -900 + -89x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-36 + -5x)(25 + -1x) = 0Subproblem 1
Set the factor '(-36 + -5x)' equal to zero and attempt to solve: Simplifying -36 + -5x = 0 Solving -36 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -5x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -5x = 0 + 36 -5x = 0 + 36 Combine like terms: 0 + 36 = 36 -5x = 36 Divide each side by '-5'. x = -7.2 Simplifying x = -7.2Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-7.2, 25}
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