2u(u+4)+7(u+4)=

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Solution for 2u(u+4)+7(u+4)= equation: 


Simplifying
2u(u + 4) + 7(u + 4) = 0

Reorder the terms:
2u(4 + u) + 7(u + 4) = 0
(4 * 2u + u * 2u) + 7(u + 4) = 0
(8u + 2u2) + 7(u + 4) = 0

Reorder the terms:
8u + 2u2 + 7(4 + u) = 0
8u + 2u2 + (4 * 7 + u * 7) = 0
8u + 2u2 + (28 + 7u) = 0

Reorder the terms:
28 + 8u + 7u + 2u2 = 0

Combine like terms: 8u + 7u = 15u
28 + 15u + 2u2 = 0

Solving
28 + 15u + 2u2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

Add '-4' to each side of the equation.
4 + -4 + u = 0 + -4

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

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

Simplifying
u = -4

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

Simplifying
7 + 2u = 0

Solving
7 + 2u = 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 + 2u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = 0 + -7
2u = 0 + -7

Combine like terms: 0 + -7 = -7
2u = -7

Divide each side by '2'.
u = -3.5

Simplifying
u = -3.5
Solution
u = {-4, -3.5}

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