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Simplifying 69z2 + -90z = 0 Reorder the terms: -90z + 69z2 = 0 Solving -90z + 69z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-30 + 23z) = 0 Ignore the factor 3.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 '(-30 + 23z)' equal to zero and attempt to solve: Simplifying -30 + 23z = 0 Solving -30 + 23z = 0 Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 23z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 23z = 0 + 30 23z = 0 + 30 Combine like terms: 0 + 30 = 30 23z = 30 Divide each side by '23'. z = 1.304347826 Simplifying z = 1.304347826Solution
z = {0, 1.304347826}
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