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Simplifying 12x2 = 8x + -1 Reorder the terms: 12x2 = -1 + 8x Solving 12x2 = -1 + 8x Solving for variable 'x'. Reorder the terms: 1 + -8x + 12x2 = -1 + 8x + 1 + -8x Reorder the terms: 1 + -8x + 12x2 = -1 + 1 + 8x + -8x Combine like terms: -1 + 1 = 0 1 + -8x + 12x2 = 0 + 8x + -8x 1 + -8x + 12x2 = 8x + -8x Combine like terms: 8x + -8x = 0 1 + -8x + 12x2 = 0 Factor a trinomial. (1 + -6x)(1 + -2x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.1666666667, 0.5}
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