7z=8z^2

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Solution for 7z=8z^2 equation: 


Simplifying
7z = 8z2

Solving
7z = 8z2

Solving for variable 'z'.

Combine like terms: 8z2 + -8z2 = 0
7z + -8z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(7 + -8z) = 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 + -8z)' equal to zero and attempt to solve:

Simplifying
7 + -8z = 0

Solving
7 + -8z = 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 + -8z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8z = 0 + -7
-8z = 0 + -7

Combine like terms: 0 + -7 = -7
-8z = -7

Divide each side by '-8'.
z = 0.875

Simplifying
z = 0.875
Solution
z = {0, 0.875}

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