(7-u)(4u+9)=0

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Solution for (7-u)(4u+9)=0 equation: 


Simplifying
(7 + -1u)(4u + 9) = 0

Reorder the terms:
(7 + -1u)(9 + 4u) = 0

Multiply (7 + -1u) * (9 + 4u)
(7(9 + 4u) + -1u * (9 + 4u)) = 0
((9 * 7 + 4u * 7) + -1u * (9 + 4u)) = 0
((63 + 28u) + -1u * (9 + 4u)) = 0
(63 + 28u + (9 * -1u + 4u * -1u)) = 0
(63 + 28u + (-9u + -4u2)) = 0

Combine like terms: 28u + -9u = 19u
(63 + 19u + -4u2) = 0

Solving
63 + 19u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -1u)(9 + 4u) = 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 '(9 + 4u)' equal to zero and attempt to solve:

Simplifying
9 + 4u = 0

Solving
9 + 4u = 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 + 4u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4u = 0 + -9
4u = 0 + -9

Combine like terms: 0 + -9 = -9
4u = -9

Divide each side by '4'.
u = -2.25

Simplifying
u = -2.25
Solution
u = {7, -2.25}

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