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Simplifying 4z2 + -1z + -60 = 0 Reorder the terms: -60 + -1z + 4z2 = 0 Solving -60 + -1z + 4z2 = 0 Solving for variable 'z'. Factor a trinomial. (-15 + -4z)(4 + -1z) = 0Subproblem 1
Set the factor '(-15 + -4z)' equal to zero and attempt to solve: Simplifying -15 + -4z = 0 Solving -15 + -4z = 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 + -4z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4z = 0 + 15 -4z = 0 + 15 Combine like terms: 0 + 15 = 15 -4z = 15 Divide each side by '-4'. z = -3.75 Simplifying z = -3.75Subproblem 2
Set the factor '(4 + -1z)' equal to zero and attempt to solve: Simplifying 4 + -1z = 0 Solving 4 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4Solution
z = {-3.75, 4}
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