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Simplifying z2 + 26z + 169 = 0 Reorder the terms: 169 + 26z + z2 = 0 Solving 169 + 26z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (13 + z)(13 + z) = 0Subproblem 1
Set the factor '(13 + z)' equal to zero and attempt to solve: Simplifying 13 + z = 0 Solving 13 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + z = 0 + -13 z = 0 + -13 Combine like terms: 0 + -13 = -13 z = -13 Simplifying z = -13Subproblem 2
Set the factor '(13 + z)' equal to zero and attempt to solve: Simplifying 13 + z = 0 Solving 13 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + z = 0 + -13 z = 0 + -13 Combine like terms: 0 + -13 = -13 z = -13 Simplifying z = -13Solution
z = {-13, -13}
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