14z^2=21z

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Solution for 14z^2=21z equation:


Simplifying
14z2 = 21z

Solving
14z2 = 21z

Solving for variable 'z'.

Reorder the terms:
-21z + 14z2 = 21z + -21z

Combine like terms: 21z + -21z = 0
-21z + 14z2 = 0

Factor out the Greatest Common Factor (GCF), '7z'.
7z(-3 + 2z) = 0

Ignore the factor 7.

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 '(-3 + 2z)' equal to zero and attempt to solve: Simplifying -3 + 2z = 0 Solving -3 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 0 + 3 2z = 0 + 3 Combine like terms: 0 + 3 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5

Solution

z = {0, 1.5}

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