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Simplifying 0 = 12x2 + -1x + -13 Reorder the terms: 0 = -13 + -1x + 12x2 Solving 0 = -13 + -1x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 13 = 13 13 + x + -12x2 = -13 + -1x + 12x2 + 13 + x + -12x2 Reorder the terms: 13 + x + -12x2 = -13 + 13 + -1x + x + 12x2 + -12x2 Combine like terms: -13 + 13 = 0 13 + x + -12x2 = 0 + -1x + x + 12x2 + -12x2 13 + x + -12x2 = -1x + x + 12x2 + -12x2 Combine like terms: -1x + x = 0 13 + x + -12x2 = 0 + 12x2 + -12x2 13 + x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 13 + x + -12x2 = 0 Factor a trinomial. (13 + -12x)(1 + x) = 0Subproblem 1
Set the factor '(13 + -12x)' equal to zero and attempt to solve: Simplifying 13 + -12x = 0 Solving 13 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 0 + -13 -12x = 0 + -13 Combine like terms: 0 + -13 = -13 -12x = -13 Divide each side by '-12'. x = 1.083333333 Simplifying x = 1.083333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.083333333, -1}
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