u^2-14u+49=2u^2-13u+29

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Solution for u^2-14u+49=2u^2-13u+29 equation: 


Simplifying
u2 + -14u + 49 = 2u2 + -13u + 29

Reorder the terms:
49 + -14u + u2 = 2u2 + -13u + 29

Reorder the terms:
49 + -14u + u2 = 29 + -13u + 2u2

Solving
49 + -14u + u2 = 29 + -13u + 2u2

Solving for variable 'u'.

Reorder the terms:
49 + -29 + -14u + 13u + u2 + -2u2 = 29 + -13u + 2u2 + -29 + 13u + -2u2

Combine like terms: 49 + -29 = 20
20 + -14u + 13u + u2 + -2u2 = 29 + -13u + 2u2 + -29 + 13u + -2u2

Combine like terms: -14u + 13u = -1u
20 + -1u + u2 + -2u2 = 29 + -13u + 2u2 + -29 + 13u + -2u2

Combine like terms: u2 + -2u2 = -1u2
20 + -1u + -1u2 = 29 + -13u + 2u2 + -29 + 13u + -2u2

Reorder the terms:
20 + -1u + -1u2 = 29 + -29 + -13u + 13u + 2u2 + -2u2

Combine like terms: 29 + -29 = 0
20 + -1u + -1u2 = 0 + -13u + 13u + 2u2 + -2u2
20 + -1u + -1u2 = -13u + 13u + 2u2 + -2u2

Combine like terms: -13u + 13u = 0
20 + -1u + -1u2 = 0 + 2u2 + -2u2
20 + -1u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
20 + -1u + -1u2 = 0

Factor a trinomial.
(4 + -1u)(5 + u) = 0


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

Simplifying
4 + -1u = 0

Solving
4 + -1u = 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 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4

Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
Solution
u = {4, -5}

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