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Simplifying z2 + -8 = 6z + -17 Reorder the terms: -8 + z2 = 6z + -17 Reorder the terms: -8 + z2 = -17 + 6z Solving -8 + z2 = -17 + 6z Solving for variable 'z'. Reorder the terms: -8 + 17 + -6z + z2 = -17 + 6z + 17 + -6z Combine like terms: -8 + 17 = 9 9 + -6z + z2 = -17 + 6z + 17 + -6z Reorder the terms: 9 + -6z + z2 = -17 + 17 + 6z + -6z Combine like terms: -17 + 17 = 0 9 + -6z + z2 = 0 + 6z + -6z 9 + -6z + z2 = 6z + -6z Combine like terms: 6z + -6z = 0 9 + -6z + z2 = 0 Factor a trinomial. (3 + -1z)(3 + -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 '(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 = 3Solution
z = {3, 3}
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