(7u-u)(4u+5)=0

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Solution for (7u-u)(4u+5)=0 equation: 


Simplifying
(7u + -1u)(4u + 5) = 0

Combine like terms: 7u + -1u = 6u
(6u)(4u + 5) = 0

Remove parenthesis around (6u)
6u(4u + 5) = 0

Reorder the terms:
6u(5 + 4u) = 0
(5 * 6u + 4u * 6u) = 0
(30u + 24u2) = 0

Solving
30u + 24u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u'.
6u(5 + 4u) = 0

Ignore the factor 6.

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 '(5 + 4u)' equal to zero and attempt to solve:

Simplifying
5 + 4u = 0

Solving
5 + 4u = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4u = 0 + -5
4u = 0 + -5

Combine like terms: 0 + -5 = -5
4u = -5

Divide each side by '4'.
u = -1.25

Simplifying
u = -1.25
Solution
u = {0, -1.25}

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