3z^2-7z=0

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Solution for 3z^2-7z=0 equation:


Simplifying
3z2 + -7z = 0

Reorder the terms:
-7z + 3z2 = 0

Solving
-7z + 3z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-7 + 3z) = 0

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 = 0

Subproblem 2

Set the factor '(-7 + 3z)' equal to zero and attempt to solve: Simplifying -7 + 3z = 0 Solving -7 + 3z = 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 + 3z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 0 + 7 3z = 0 + 7 Combine like terms: 0 + 7 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333

Solution

z = {0, 2.333333333}

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