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Simplifying 21z2 + -16z + -16 = 0 Reorder the terms: -16 + -16z + 21z2 = 0 Solving -16 + -16z + 21z2 = 0 Solving for variable 'z'. Factor a trinomial. (-4 + -7z)(4 + -3z) = 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 '(4 + -3z)' equal to zero and attempt to solve: Simplifying 4 + -3z = 0 Solving 4 + -3z = 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 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333Solution
z = {-0.5714285714, 1.333333333}
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