u^2-5u-5u+25=2u^2-14u+4

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Solution for u^2-5u-5u+25=2u^2-14u+4 equation: 


Simplifying
u2 + -5u + -5u + 25 = 2u2 + -14u + 4

Reorder the terms:
25 + -5u + -5u + u2 = 2u2 + -14u + 4

Combine like terms: -5u + -5u = -10u
25 + -10u + u2 = 2u2 + -14u + 4

Reorder the terms:
25 + -10u + u2 = 4 + -14u + 2u2

Solving
25 + -10u + u2 = 4 + -14u + 2u2

Solving for variable 'u'.

Reorder the terms:
25 + -4 + -10u + 14u + u2 + -2u2 = 4 + -14u + 2u2 + -4 + 14u + -2u2

Combine like terms: 25 + -4 = 21
21 + -10u + 14u + u2 + -2u2 = 4 + -14u + 2u2 + -4 + 14u + -2u2

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

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

Reorder the terms:
21 + 4u + -1u2 = 4 + -4 + -14u + 14u + 2u2 + -2u2

Combine like terms: 4 + -4 = 0
21 + 4u + -1u2 = 0 + -14u + 14u + 2u2 + -2u2
21 + 4u + -1u2 = -14u + 14u + 2u2 + -2u2

Combine like terms: -14u + 14u = 0
21 + 4u + -1u2 = 0 + 2u2 + -2u2
21 + 4u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
21 + 4u + -1u2 = 0

Factor a trinomial.
(7 + -1u)(3 + u) = 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 '(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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