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Simplifying -20z + 20z2 + -16z + -12z2 = 0 Reorder the terms: -20z + -16z + 20z2 + -12z2 = 0 Combine like terms: -20z + -16z = -36z -36z + 20z2 + -12z2 = 0 Combine like terms: 20z2 + -12z2 = 8z2 -36z + 8z2 = 0 Solving -36z + 8z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-9 + 2z) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-9 + 2z)' equal to zero and attempt to solve: Simplifying -9 + 2z = 0 Solving -9 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = 0 + 9 2z = 0 + 9 Combine like terms: 0 + 9 = 9 2z = 9 Divide each side by '2'. z = 4.5 Simplifying z = 4.5Solution
z = {0, 4.5}
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