2u^2+13u+18=(u+2)(u+2)

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Solution for 2u^2+13u+18=(u+2)(u+2) equation: 


Simplifying
2u2 + 13u + 18 = (u + 2)(u + 2)

Reorder the terms:
18 + 13u + 2u2 = (u + 2)(u + 2)

Reorder the terms:
18 + 13u + 2u2 = (2 + u)(u + 2)

Reorder the terms:
18 + 13u + 2u2 = (2 + u)(2 + u)

Multiply (2 + u) * (2 + u)
18 + 13u + 2u2 = (2(2 + u) + u(2 + u))
18 + 13u + 2u2 = ((2 * 2 + u * 2) + u(2 + u))
18 + 13u + 2u2 = ((4 + 2u) + u(2 + u))
18 + 13u + 2u2 = (4 + 2u + (2 * u + u * u))
18 + 13u + 2u2 = (4 + 2u + (2u + u2))

Combine like terms: 2u + 2u = 4u
18 + 13u + 2u2 = (4 + 4u + u2)

Solving
18 + 13u + 2u2 = 4 + 4u + u2

Solving for variable 'u'.

Reorder the terms:
18 + -4 + 13u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 18 + -4 = 14
14 + 13u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 13u + -4u = 9u
14 + 9u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
14 + 9u + 1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Reorder the terms:
14 + 9u + 1u2 = 4 + -4 + 4u + -4u + u2 + -1u2

Combine like terms: 4 + -4 = 0
14 + 9u + 1u2 = 0 + 4u + -4u + u2 + -1u2
14 + 9u + 1u2 = 4u + -4u + u2 + -1u2

Combine like terms: 4u + -4u = 0
14 + 9u + 1u2 = 0 + u2 + -1u2
14 + 9u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
14 + 9u + 1u2 = 0

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


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

Simplifying
7 + u = 0

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

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

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

Simplifying
u = -7

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

Simplifying
2 + u = 0

Solving
2 + u = 0

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

Add '-2' to each side of the equation.
2 + -2 + u = 0 + -2

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

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

Simplifying
u = -2
Solution
u = {-7, -2}

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