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Simplifying 2z2 + -30z + -432 = 0 Reorder the terms: -432 + -30z + 2z2 = 0 Solving -432 + -30z + 2z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2'. 2(-216 + -15z + z2) = 0 Factor a trinomial. 2((-9 + -1z)(24 + -1z)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1z)' equal to zero and attempt to solve: Simplifying -9 + -1z = 0 Solving -9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 0 + 9 -1z = 0 + 9 Combine like terms: 0 + 9 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9Subproblem 2
Set the factor '(24 + -1z)' equal to zero and attempt to solve: Simplifying 24 + -1z = 0 Solving 24 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1z = 0 + -24 -1z = 0 + -24 Combine like terms: 0 + -24 = -24 -1z = -24 Divide each side by '-1'. z = 24 Simplifying z = 24Solution
z = {-9, 24}
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