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Simplifying 7z2 + -30z + 7z2 = 0 Reorder the terms: -30z + 7z2 + 7z2 = 0 Combine like terms: 7z2 + 7z2 = 14z2 -30z + 14z2 = 0 Solving -30z + 14z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(-15 + 7z) = 0 Ignore the factor 2.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 '(-15 + 7z)' equal to zero and attempt to solve: Simplifying -15 + 7z = 0 Solving -15 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7z = 0 + 15 7z = 0 + 15 Combine like terms: 0 + 15 = 15 7z = 15 Divide each side by '7'. z = 2.142857143 Simplifying z = 2.142857143Solution
z = {0, 2.142857143}
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