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Simplifying 36x2 = -12x + -1 Reorder the terms: 36x2 = -1 + -12x Solving 36x2 = -1 + -12x Solving for variable 'x'. Reorder the terms: 1 + 12x + 36x2 = -1 + -12x + 1 + 12x Reorder the terms: 1 + 12x + 36x2 = -1 + 1 + -12x + 12x Combine like terms: -1 + 1 = 0 1 + 12x + 36x2 = 0 + -12x + 12x 1 + 12x + 36x2 = -12x + 12x Combine like terms: -12x + 12x = 0 1 + 12x + 36x2 = 0 Factor a trinomial. (1 + 6x)(1 + 6x) = 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 + 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 = -0.1666666667Solution
x = {-0.1666666667, -0.1666666667}
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