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Simplifying 49z2 = 20z Solving 49z2 = 20z Solving for variable 'z'. Reorder the terms: -20z + 49z2 = 20z + -20z Combine like terms: 20z + -20z = 0 -20z + 49z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-20 + 49z) = 0Subproblem 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 '(-20 + 49z)' equal to zero and attempt to solve: Simplifying -20 + 49z = 0 Solving -20 + 49z = 0 Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 49z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 49z = 0 + 20 49z = 0 + 20 Combine like terms: 0 + 20 = 20 49z = 20 Divide each side by '49'. z = 0.4081632653 Simplifying z = 0.4081632653Solution
z = {0, 0.4081632653}
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