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Simplifying 8z2 + -28z = 0 Reorder the terms: -28z + 8z2 = 0 Solving -28z + 8z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-7 + 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 '(-7 + 2z)' equal to zero and attempt to solve: Simplifying -7 + 2z = 0 Solving -7 + 2z = 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 + 2z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = 0 + 7 2z = 0 + 7 Combine like terms: 0 + 7 = 7 2z = 7 Divide each side by '2'. z = 3.5 Simplifying z = 3.5Solution
z = {0, 3.5}
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