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Simplifying (12x + -1)(12x + -1) = 0 Reorder the terms: (-1 + 12x)(12x + -1) = 0 Reorder the terms: (-1 + 12x)(-1 + 12x) = 0 Multiply (-1 + 12x) * (-1 + 12x) (-1(-1 + 12x) + 12x * (-1 + 12x)) = 0 ((-1 * -1 + 12x * -1) + 12x * (-1 + 12x)) = 0 ((1 + -12x) + 12x * (-1 + 12x)) = 0 (1 + -12x + (-1 * 12x + 12x * 12x)) = 0 (1 + -12x + (-12x + 144x2)) = 0 Combine like terms: -12x + -12x = -24x (1 + -24x + 144x2) = 0 Solving 1 + -24x + 144x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -12x)(1 + -12x) = 0Subproblem 1
Set the factor '(1 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 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 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Subproblem 2
Set the factor '(1 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 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 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Solution
x = {0.08333333333, 0.08333333333}
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