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

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


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

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

Multiply (9 + u) * (7 + 4u)
(9(7 + 4u) + u(7 + 4u)) = 0
((7 * 9 + 4u * 9) + u(7 + 4u)) = 0
((63 + 36u) + u(7 + 4u)) = 0
(63 + 36u + (7 * u + 4u * u)) = 0
(63 + 36u + (7u + 4u2)) = 0

Combine like terms: 36u + 7u = 43u
(63 + 43u + 4u2) = 0

Solving
63 + 43u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + u)(7 + 4u) = 0


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

Simplifying
9 + u = 0

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

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

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

Simplifying
u = -9

Subproblem 2
Set the factor '(7 + 4u)' equal to zero and attempt to solve:

Simplifying
7 + 4u = 0

Solving
7 + 4u = 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 + 4u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4u = 0 + -7
4u = 0 + -7

Combine like terms: 0 + -7 = -7
4u = -7

Divide each side by '4'.
u = -1.75

Simplifying
u = -1.75
Solution
u = {-9, -1.75}

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