(5u+7)(9-u)=0

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Solution for (5u+7)(9-u)=0 equation: 


Simplifying
(5u + 7)(9 + -1u) = 0

Reorder the terms:
(7 + 5u)(9 + -1u) = 0

Multiply (7 + 5u) * (9 + -1u)
(7(9 + -1u) + 5u * (9 + -1u)) = 0
((9 * 7 + -1u * 7) + 5u * (9 + -1u)) = 0
((63 + -7u) + 5u * (9 + -1u)) = 0
(63 + -7u + (9 * 5u + -1u * 5u)) = 0
(63 + -7u + (45u + -5u2)) = 0

Combine like terms: -7u + 45u = 38u
(63 + 38u + -5u2) = 0

Solving
63 + 38u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -1u)(7 + 5u) = 0


Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9

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 = {9, -1.4}

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