2u^2-u+64=u^2-12u+36

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Solution for 2u^2-u+64=u^2-12u+36 equation: 


Simplifying
2u2 + -1u + 64 = u2 + -12u + 36

Reorder the terms:
64 + -1u + 2u2 = u2 + -12u + 36

Reorder the terms:
64 + -1u + 2u2 = 36 + -12u + u2

Solving
64 + -1u + 2u2 = 36 + -12u + u2

Solving for variable 'u'.

Reorder the terms:
64 + -36 + -1u + 12u + 2u2 + -1u2 = 36 + -12u + u2 + -36 + 12u + -1u2

Combine like terms: 64 + -36 = 28
28 + -1u + 12u + 2u2 + -1u2 = 36 + -12u + u2 + -36 + 12u + -1u2

Combine like terms: -1u + 12u = 11u
28 + 11u + 2u2 + -1u2 = 36 + -12u + u2 + -36 + 12u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
28 + 11u + 1u2 = 36 + -12u + u2 + -36 + 12u + -1u2

Reorder the terms:
28 + 11u + 1u2 = 36 + -36 + -12u + 12u + u2 + -1u2

Combine like terms: 36 + -36 = 0
28 + 11u + 1u2 = 0 + -12u + 12u + u2 + -1u2
28 + 11u + 1u2 = -12u + 12u + u2 + -1u2

Combine like terms: -12u + 12u = 0
28 + 11u + 1u2 = 0 + u2 + -1u2
28 + 11u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
28 + 11u + 1u2 = 0

Factor a trinomial.
(7 + u)(4 + 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 '(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
Solution
u = {-7, -4}

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