2u^2-15u+37=u^2-14u+49

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Solution for 2u^2-15u+37=u^2-14u+49 equation: 


Simplifying
2u2 + -15u + 37 = u2 + -14u + 49

Reorder the terms:
37 + -15u + 2u2 = u2 + -14u + 49

Reorder the terms:
37 + -15u + 2u2 = 49 + -14u + u2

Solving
37 + -15u + 2u2 = 49 + -14u + u2

Solving for variable 'u'.

Reorder the terms:
37 + -49 + -15u + 14u + 2u2 + -1u2 = 49 + -14u + u2 + -49 + 14u + -1u2

Combine like terms: 37 + -49 = -12
-12 + -15u + 14u + 2u2 + -1u2 = 49 + -14u + u2 + -49 + 14u + -1u2

Combine like terms: -15u + 14u = -1u
-12 + -1u + 2u2 + -1u2 = 49 + -14u + u2 + -49 + 14u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
-12 + -1u + 1u2 = 49 + -14u + u2 + -49 + 14u + -1u2

Reorder the terms:
-12 + -1u + 1u2 = 49 + -49 + -14u + 14u + u2 + -1u2

Combine like terms: 49 + -49 = 0
-12 + -1u + 1u2 = 0 + -14u + 14u + u2 + -1u2
-12 + -1u + 1u2 = -14u + 14u + u2 + -1u2

Combine like terms: -14u + 14u = 0
-12 + -1u + 1u2 = 0 + u2 + -1u2
-12 + -1u + 1u2 = u2 + -1u2

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

Factor a trinomial.
(-3 + -1u)(4 + -1u) = 0


Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve:

Simplifying
-3 + -1u = 0

Solving
-3 + -1u = 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 + -1u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1u = 0 + 3
-1u = 0 + 3

Combine like terms: 0 + 3 = 3
-1u = 3

Divide each side by '-1'.
u = -3

Simplifying
u = -3

Subproblem 2
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
Solution
u = {-3, 4}

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