u(6u-7)=0

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Solution for u(6u-7)=0 equation: 


Simplifying
u(6u + -7) = 0

Reorder the terms:
u(-7 + 6u) = 0
(-7 * u + 6u * u) = 0
(-7u + 6u2) = 0

Solving
-7u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-7 + 6u) = 0


Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

Move all terms containing u to the left, all other terms to the right.

Simplifying
u = 0

Subproblem 2
Set the factor '(-7 + 6u)' equal to zero and attempt to solve:

Simplifying
-7 + 6u = 0

Solving
-7 + 6u = 0

Move all terms containing u to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 6u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6u = 0 + 7
6u = 0 + 7

Combine like terms: 0 + 7 = 7
6u = 7

Divide each side by '6'.
u = 1.166666667

Simplifying
u = 1.166666667
Solution
u = {0, 1.166666667}

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