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Simplifying (6x + -1)(6x + -1) = 0 Reorder the terms: (-1 + 6x)(6x + -1) = 0 Reorder the terms: (-1 + 6x)(-1 + 6x) = 0 Multiply (-1 + 6x) * (-1 + 6x) (-1(-1 + 6x) + 6x * (-1 + 6x)) = 0 ((-1 * -1 + 6x * -1) + 6x * (-1 + 6x)) = 0 ((1 + -6x) + 6x * (-1 + 6x)) = 0 (1 + -6x + (-1 * 6x + 6x * 6x)) = 0 (1 + -6x + (-6x + 36x2)) = 0 Combine like terms: -6x + -6x = -12x (1 + -12x + 36x2) = 0 Solving 1 + -12x + 36x2 = 0 Solving for variable 'x'. 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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