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Simplifying 5z2 = 35z Solving 5z2 = 35z Solving for variable 'z'. Reorder the terms: -35z + 5z2 = 35z + -35z Combine like terms: 35z + -35z = 0 -35z + 5z2 = 0 Factor out the Greatest Common Factor (GCF), '5z'. 5z(-7 + z) = 0 Ignore the factor 5.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 + z)' equal to zero and attempt to solve: Simplifying -7 + z = 0 Solving -7 + z = 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 + z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + z = 0 + 7 z = 0 + 7 Combine like terms: 0 + 7 = 7 z = 7 Simplifying z = 7Solution
z = {0, 7}
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