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Simplifying 12x2 + -13x + -7175 = 0 Reorder the terms: -7175 + -13x + 12x2 = 0 Solving -7175 + -13x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-287 + -12x)(25 + -1x) = 0Subproblem 1
Set the factor '(-287 + -12x)' equal to zero and attempt to solve: Simplifying -287 + -12x = 0 Solving -287 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '287' to each side of the equation. -287 + 287 + -12x = 0 + 287 Combine like terms: -287 + 287 = 0 0 + -12x = 0 + 287 -12x = 0 + 287 Combine like terms: 0 + 287 = 287 -12x = 287 Divide each side by '-12'. x = -23.91666667 Simplifying x = -23.91666667Subproblem 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 = {-23.91666667, 25}
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