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Simplifying z2 + -26z + -87 = 0 Reorder the terms: -87 + -26z + z2 = 0 Solving -87 + -26z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -1z)(29 + -1z) = 0Subproblem 1
Set the factor '(-3 + -1z)' equal to zero and attempt to solve: Simplifying -3 + -1z = 0 Solving -3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 0 + 3 -1z = 0 + 3 Combine like terms: 0 + 3 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3Subproblem 2
Set the factor '(29 + -1z)' equal to zero and attempt to solve: Simplifying 29 + -1z = 0 Solving 29 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1z = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1z = 0 + -29 -1z = 0 + -29 Combine like terms: 0 + -29 = -29 -1z = -29 Divide each side by '-1'. z = 29 Simplifying z = 29Solution
z = {-3, 29}
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