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Simplifying 144x2 + 24x + 1 = 0 Reorder the terms: 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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