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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. (-4 + -7z)(7 + -4z) = 0Subproblem 1
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 = -0.5714285714Subproblem 2
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 = 1.75Solution
z = {-0.5714285714, 1.75}
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