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Simplifying z2 + -3z + -270 = 0 Reorder the terms: -270 + -3z + z2 = 0 Solving -270 + -3z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-15 + -1z)(18 + -1z) = 0Subproblem 1
Set the factor '(-15 + -1z)' equal to zero and attempt to solve: Simplifying -15 + -1z = 0 Solving -15 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = 0 + 15 -1z = 0 + 15 Combine like terms: 0 + 15 = 15 -1z = 15 Divide each side by '-1'. z = -15 Simplifying z = -15Subproblem 2
Set the factor '(18 + -1z)' equal to zero and attempt to solve: Simplifying 18 + -1z = 0 Solving 18 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 0 + -18 -1z = 0 + -18 Combine like terms: 0 + -18 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18Solution
z = {-15, 18}
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