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Simplifying 7x2 + 104x + 169 = 0 Reorder the terms: 169 + 104x + 7x2 = 0 Solving 169 + 104x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x)(13 + 7x) = 0Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 2
Set the factor '(13 + 7x)' equal to zero and attempt to solve: Simplifying 13 + 7x = 0 Solving 13 + 7x = 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 + 7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 0 + -13 7x = 0 + -13 Combine like terms: 0 + -13 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857Solution
x = {-13, -1.857142857}
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