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Simplifying 33z + 28z2 + -28 = 0 Reorder the terms: -28 + 33z + 28z2 = 0 Solving -28 + 33z + 28z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -4z)(4 + -7z) = 0Subproblem 1
Set the factor '(-7 + -4z)' equal to zero and attempt to solve: Simplifying -7 + -4z = 0 Solving -7 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4z = 0 + 7 -4z = 0 + 7 Combine like terms: 0 + 7 = 7 -4z = 7 Divide each side by '-4'. z = -1.75 Simplifying z = -1.75Subproblem 2
Set the factor '(4 + -7z)' equal to zero and attempt to solve: Simplifying 4 + -7z = 0 Solving 4 + -7z = 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 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714Solution
z = {-1.75, 0.5714285714}
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