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Simplifying 12x2 + -5x + -1 = 1 Reorder the terms: -1 + -5x + 12x2 = 1 Solving -1 + -5x + 12x2 = 1 Solving for variable 'x'. Reorder the terms: -1 + -1 + -5x + 12x2 = 1 + -1 Combine like terms: -1 + -1 = -2 -2 + -5x + 12x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -2 + -5x + 12x2 = 0 Factor a trinomial. (-1 + -4x)(2 + -3x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.25, 0.6666666667}
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