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

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


Simplifying
(5u + 3)(7 + -1u) = 0

Reorder the terms:
(3 + 5u)(7 + -1u) = 0

Multiply (3 + 5u) * (7 + -1u)
(3(7 + -1u) + 5u * (7 + -1u)) = 0
((7 * 3 + -1u * 3) + 5u * (7 + -1u)) = 0
((21 + -3u) + 5u * (7 + -1u)) = 0
(21 + -3u + (7 * 5u + -1u * 5u)) = 0
(21 + -3u + (35u + -5u2)) = 0

Combine like terms: -3u + 35u = 32u
(21 + 32u + -5u2) = 0

Solving
21 + 32u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -1u)(3 + 5u) = 0


Subproblem 1
Set the factor '(7 + -1u)' equal to zero and attempt to solve:

Simplifying
7 + -1u = 0

Solving
7 + -1u = 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 + -1u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = 0 + -7
-1u = 0 + -7

Combine like terms: 0 + -7 = -7
-1u = -7

Divide each side by '-1'.
u = 7

Simplifying
u = 7

Subproblem 2
Set the factor '(3 + 5u)' equal to zero and attempt to solve:

Simplifying
3 + 5u = 0

Solving
3 + 5u = 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 + 5u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5u = 0 + -3
5u = 0 + -3

Combine like terms: 0 + -3 = -3
5u = -3

Divide each side by '5'.
u = -0.6

Simplifying
u = -0.6
Solution
u = {7, -0.6}

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