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Simplifying z2 + -26z + 25 = 0 Reorder the terms: 25 + -26z + z2 = 0 Solving 25 + -26z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (1 + -1z)(25 + -1z) = 0Subproblem 1
Set the factor '(1 + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1z = 0 Solving 1 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 0 + -1 -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1Subproblem 2
Set the factor '(25 + -1z)' equal to zero and attempt to solve: Simplifying 25 + -1z = 0 Solving 25 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1z = 0 + -25 -1z = 0 + -25 Combine like terms: 0 + -25 = -25 -1z = -25 Divide each side by '-1'. z = 25 Simplifying z = 25Solution
z = {1, 25}
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