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Simplifying 12x2 + -13x + -25 = 0 Reorder the terms: -25 + -13x + 12x2 = 0 Solving -25 + -13x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(25 + -12x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(25 + -12x)' equal to zero and attempt to solve: Simplifying 25 + -12x = 0 Solving 25 + -12x = 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 + -12x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -12x = 0 + -25 -12x = 0 + -25 Combine like terms: 0 + -25 = -25 -12x = -25 Divide each side by '-12'. x = 2.083333333 Simplifying x = 2.083333333Solution
x = {-1, 2.083333333}
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