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Simplifying z2 = 12z + -36 Reorder the terms: z2 = -36 + 12z Solving z2 = -36 + 12z Solving for variable 'z'. Reorder the terms: 36 + -12z + z2 = -36 + 12z + 36 + -12z Reorder the terms: 36 + -12z + z2 = -36 + 36 + 12z + -12z Combine like terms: -36 + 36 = 0 36 + -12z + z2 = 0 + 12z + -12z 36 + -12z + z2 = 12z + -12z Combine like terms: 12z + -12z = 0 36 + -12z + z2 = 0 Factor a trinomial. (6 + -1z)(6 + -1z) = 0Subproblem 1
Set the factor '(6 + -1z)' equal to zero and attempt to solve: Simplifying 6 + -1z = 0 Solving 6 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 0 + -6 -1z = 0 + -6 Combine like terms: 0 + -6 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6Subproblem 2
Set the factor '(6 + -1z)' equal to zero and attempt to solve: Simplifying 6 + -1z = 0 Solving 6 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 0 + -6 -1z = 0 + -6 Combine like terms: 0 + -6 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6Solution
z = {6, 6}
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