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Simplifying z2 + 169 = 26z Reorder the terms: 169 + z2 = 26z Solving 169 + z2 = 26z Solving for variable 'z'. Reorder the terms: 169 + -26z + z2 = 26z + -26z Combine like terms: 26z + -26z = 0 169 + -26z + z2 = 0 Factor a trinomial. (13 + -1z)(13 + -1z) = 0Subproblem 1
Set the factor '(13 + -1z)' equal to zero and attempt to solve: Simplifying 13 + -1z = 0 Solving 13 + -1z = 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 + -1z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = 0 + -13 -1z = 0 + -13 Combine like terms: 0 + -13 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13Subproblem 2
Set the factor '(13 + -1z)' equal to zero and attempt to solve: Simplifying 13 + -1z = 0 Solving 13 + -1z = 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 + -1z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = 0 + -13 -1z = 0 + -13 Combine like terms: 0 + -13 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13Solution
z = {13, 13}
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