9z^2=7z

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Solution for 9z^2=7z equation:


Simplifying
9z2 = 7z

Solving
9z2 = 7z

Solving for variable 'z'.

Reorder the terms:
-7z + 9z2 = 7z + -7z

Combine like terms: 7z + -7z = 0
-7z + 9z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-7 + 9z) = 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 + 9z)' equal to zero and attempt to solve: Simplifying -7 + 9z = 0 Solving -7 + 9z = 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 + 9z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9z = 0 + 7 9z = 0 + 7 Combine like terms: 0 + 7 = 7 9z = 7 Divide each side by '9'. z = 0.7777777778 Simplifying z = 0.7777777778

Solution

z = {0, 0.7777777778}

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