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Simplifying 2z2 + -9z + -200 = 0 Reorder the terms: -200 + -9z + 2z2 = 0 Solving -200 + -9z + 2z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -1z)(25 + -2z) = 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 '(25 + -2z)' equal to zero and attempt to solve: Simplifying 25 + -2z = 0 Solving 25 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2z = 0 + -25 -2z = 0 + -25 Combine like terms: 0 + -25 = -25 -2z = -25 Divide each side by '-2'. z = 12.5 Simplifying z = 12.5Solution
z = {-8, 12.5}
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