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Simplifying 4z2 + -25z + -456 = 0 Reorder the terms: -456 + -25z + 4z2 = 0 Solving -456 + -25z + 4z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -1z)(57 + -4z) = 0Subproblem 1
Set the factor '(-8 + -1z)' equal to zero and attempt to solve: Simplifying -8 + -1z = 0 Solving -8 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 0 + 8 -1z = 0 + 8 Combine like terms: 0 + 8 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8Subproblem 2
Set the factor '(57 + -4z)' equal to zero and attempt to solve: Simplifying 57 + -4z = 0 Solving 57 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -4z = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -4z = 0 + -57 -4z = 0 + -57 Combine like terms: 0 + -57 = -57 -4z = -57 Divide each side by '-4'. z = 14.25 Simplifying z = 14.25Solution
z = {-8, 14.25}
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