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Simplifying 5z2 + -6z + -8 = 0 Reorder the terms: -8 + -6z + 5z2 = 0 Solving -8 + -6z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-4 + -5z)(2 + -1z) = 0Subproblem 1
Set the factor '(-4 + -5z)' equal to zero and attempt to solve: Simplifying -4 + -5z = 0 Solving -4 + -5z = 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 + -5z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5z = 0 + 4 -5z = 0 + 4 Combine like terms: 0 + 4 = 4 -5z = 4 Divide each side by '-5'. z = -0.8 Simplifying z = -0.8Subproblem 2
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 = 2Solution
z = {-0.8, 2}
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