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Simplifying 144x2 + 312x + 169 = 0 Reorder the terms: 169 + 312x + 144x2 = 0 Solving 169 + 312x + 144x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + 12x)(13 + 12x) = 0Subproblem 1
Set the factor '(13 + 12x)' equal to zero and attempt to solve: Simplifying 13 + 12x = 0 Solving 13 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 0 + -13 12x = 0 + -13 Combine like terms: 0 + -13 = -13 12x = -13 Divide each side by '12'. x = -1.083333333 Simplifying x = -1.083333333Subproblem 2
Set the factor '(13 + 12x)' equal to zero and attempt to solve: Simplifying 13 + 12x = 0 Solving 13 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 0 + -13 12x = 0 + -13 Combine like terms: 0 + -13 = -13 12x = -13 Divide each side by '12'. x = -1.083333333 Simplifying x = -1.083333333Solution
x = {-1.083333333, -1.083333333}
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