2u^2+14u+25=(u+2)(u+2)

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Solution for 2u^2+14u+25=(u+2)(u+2) equation: 


Simplifying
2u2 + 14u + 25 = (u + 2)(u + 2)

Reorder the terms:
25 + 14u + 2u2 = (u + 2)(u + 2)

Reorder the terms:
25 + 14u + 2u2 = (2 + u)(u + 2)

Reorder the terms:
25 + 14u + 2u2 = (2 + u)(2 + u)

Multiply (2 + u) * (2 + u)
25 + 14u + 2u2 = (2(2 + u) + u(2 + u))
25 + 14u + 2u2 = ((2 * 2 + u * 2) + u(2 + u))
25 + 14u + 2u2 = ((4 + 2u) + u(2 + u))
25 + 14u + 2u2 = (4 + 2u + (2 * u + u * u))
25 + 14u + 2u2 = (4 + 2u + (2u + u2))

Combine like terms: 2u + 2u = 4u
25 + 14u + 2u2 = (4 + 4u + u2)

Solving
25 + 14u + 2u2 = 4 + 4u + u2

Solving for variable 'u'.

Reorder the terms:
25 + -4 + 14u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 25 + -4 = 21
21 + 14u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 14u + -4u = 10u
21 + 10u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
21 + 10u + 1u2 = 4 + 4u + u2 + -4 + -4u + -1u2

Reorder the terms:
21 + 10u + 1u2 = 4 + -4 + 4u + -4u + u2 + -1u2

Combine like terms: 4 + -4 = 0
21 + 10u + 1u2 = 0 + 4u + -4u + u2 + -1u2
21 + 10u + 1u2 = 4u + -4u + u2 + -1u2

Combine like terms: 4u + -4u = 0
21 + 10u + 1u2 = 0 + u2 + -1u2
21 + 10u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
21 + 10u + 1u2 = 0

Factor a trinomial.
(7 + u)(3 + 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 '(3 + u)' equal to zero and attempt to solve:

Simplifying
3 + u = 0

Solving
3 + u = 0

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

Add '-3' to each side of the equation.
3 + -3 + u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

Simplifying
u = -3
Solution
u = {-7, -3}

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