2u^2-9u+8=u^2-4u+4

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Solution for 2u^2-9u+8=u^2-4u+4 equation: 


Simplifying
2u2 + -9u + 8 = u2 + -4u + 4

Reorder the terms:
8 + -9u + 2u2 = u2 + -4u + 4

Reorder the terms:
8 + -9u + 2u2 = 4 + -4u + u2

Solving
8 + -9u + 2u2 = 4 + -4u + u2

Solving for variable 'u'.

Reorder the terms:
8 + -4 + -9u + 4u + 2u2 + -1u2 = 4 + -4u + u2 + -4 + 4u + -1u2

Combine like terms: 8 + -4 = 4
4 + -9u + 4u + 2u2 + -1u2 = 4 + -4u + u2 + -4 + 4u + -1u2

Combine like terms: -9u + 4u = -5u
4 + -5u + 2u2 + -1u2 = 4 + -4u + u2 + -4 + 4u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
4 + -5u + 1u2 = 4 + -4u + u2 + -4 + 4u + -1u2

Reorder the terms:
4 + -5u + 1u2 = 4 + -4 + -4u + 4u + u2 + -1u2

Combine like terms: 4 + -4 = 0
4 + -5u + 1u2 = 0 + -4u + 4u + u2 + -1u2
4 + -5u + 1u2 = -4u + 4u + u2 + -1u2

Combine like terms: -4u + 4u = 0
4 + -5u + 1u2 = 0 + u2 + -1u2
4 + -5u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
4 + -5u + 1u2 = 0

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


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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1u = 0 + -1

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

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

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

Simplifying
u = 1

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 = {1, 4}

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