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Simplifying 3z2 + -17z + 0 = 0 Reorder the terms: 0 + -17z + 3z2 = 0 Remove the zero: -17z + 3z2 = 0 Solving -17z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-17 + 3z) = 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 '(-17 + 3z)' equal to zero and attempt to solve: Simplifying -17 + 3z = 0 Solving -17 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3z = 0 + 17 3z = 0 + 17 Combine like terms: 0 + 17 = 17 3z = 17 Divide each side by '3'. z = 5.666666667 Simplifying z = 5.666666667Solution
z = {0, 5.666666667}
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