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

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


Simplifying
(5 + u)(5u + 7) = 0

Reorder the terms:
(5 + u)(7 + 5u) = 0

Multiply (5 + u) * (7 + 5u)
(5(7 + 5u) + u(7 + 5u)) = 0
((7 * 5 + 5u * 5) + u(7 + 5u)) = 0
((35 + 25u) + u(7 + 5u)) = 0
(35 + 25u + (7 * u + 5u * u)) = 0
(35 + 25u + (7u + 5u2)) = 0

Combine like terms: 25u + 7u = 32u
(35 + 32u + 5u2) = 0

Solving
35 + 32u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + u)(7 + 5u) = 0


Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 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 + u = 0 + -5

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

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

Simplifying
u = -5

Subproblem 2
Set the factor '(7 + 5u)' equal to zero and attempt to solve:

Simplifying
7 + 5u = 0

Solving
7 + 5u = 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 + 5u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5u = 0 + -7
5u = 0 + -7

Combine like terms: 0 + -7 = -7
5u = -7

Divide each side by '5'.
u = -1.4

Simplifying
u = -1.4
Solution
u = {-5, -1.4}

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