(7u+5)(2u+3)=0

Solution for (7u+5)(2u+3)=0 equation:

Simplifying
(7u + 5)(2u + 3) = 0

Reorder the terms:
(5 + 7u)(2u + 3) = 0

Reorder the terms:
(5 + 7u)(3 + 2u) = 0

Multiply (5 + 7u) * (3 + 2u)
(5(3 + 2u) + 7u * (3 + 2u)) = 0
((3 * 5 + 2u * 5) + 7u * (3 + 2u)) = 0
((15 + 10u) + 7u * (3 + 2u)) = 0
(15 + 10u + (3 * 7u + 2u * 7u)) = 0
(15 + 10u + (21u + 14u2)) = 0

Combine like terms: 10u + 21u = 31u
(15 + 31u + 14u2) = 0

Solving
15 + 31u + 14u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + 2u)(5 + 7u) = 0

Subproblem 1
Set the factor '(3 + 2u)' equal to zero and attempt to solve:

Simplifying
3 + 2u = 0

Solving
3 + 2u = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2u = 0 + -3
2u = 0 + -3

Combine like terms: 0 + -3 = -3
2u = -3

Divide each side by '2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
Set the factor '(5 + 7u)' equal to zero and attempt to solve:

Simplifying
5 + 7u = 0

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

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

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

Divide each side by '7'.
u = -0.7142857143

Simplifying
u = -0.7142857143
Solution
u = {-1.5, -0.7142857143}