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Simplifying 2z2 = 7z Solving 2z2 = 7z Solving for variable 'z'. Reorder the terms: -7z + 2z2 = 7z + -7z Combine like terms: 7z + -7z = 0 -7z + 2z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-7 + 2z) = 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 '(-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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