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Simplifying z2 + -30 = 13z Reorder the terms: -30 + z2 = 13z Solving -30 + z2 = 13z Solving for variable 'z'. Reorder the terms: -30 + -13z + z2 = 13z + -13z Combine like terms: 13z + -13z = 0 -30 + -13z + z2 = 0 Factor a trinomial. (-2 + -1z)(15 + -1z) = 0Subproblem 1
Set the factor '(-2 + -1z)' equal to zero and attempt to solve: Simplifying -2 + -1z = 0 Solving -2 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 0 + 2 -1z = 0 + 2 Combine like terms: 0 + 2 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2Subproblem 2
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 = 15Solution
z = {-2, 15}
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