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Simplifying z2 + 30z + 225 = 0 Reorder the terms: 225 + 30z + z2 = 0 Solving 225 + 30z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (15 + z)(15 + z) = 0Subproblem 1
Set the factor '(15 + z)' equal to zero and attempt to solve: Simplifying 15 + z = 0 Solving 15 + z = 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 + z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + z = 0 + -15 z = 0 + -15 Combine like terms: 0 + -15 = -15 z = -15 Simplifying z = -15Subproblem 2
Set the factor '(15 + z)' equal to zero and attempt to solve: Simplifying 15 + z = 0 Solving 15 + z = 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 + z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + z = 0 + -15 z = 0 + -15 Combine like terms: 0 + -15 = -15 z = -15 Simplifying z = -15Solution
z = {-15, -15}
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