u^2-8u+16=2u^2-3u+2

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Solution for u^2-8u+16=2u^2-3u+2 equation: 


Simplifying
u2 + -8u + 16 = 2u2 + -3u + 2

Reorder the terms:
16 + -8u + u2 = 2u2 + -3u + 2

Reorder the terms:
16 + -8u + u2 = 2 + -3u + 2u2

Solving
16 + -8u + u2 = 2 + -3u + 2u2

Solving for variable 'u'.

Reorder the terms:
16 + -2 + -8u + 3u + u2 + -2u2 = 2 + -3u + 2u2 + -2 + 3u + -2u2

Combine like terms: 16 + -2 = 14
14 + -8u + 3u + u2 + -2u2 = 2 + -3u + 2u2 + -2 + 3u + -2u2

Combine like terms: -8u + 3u = -5u
14 + -5u + u2 + -2u2 = 2 + -3u + 2u2 + -2 + 3u + -2u2

Combine like terms: u2 + -2u2 = -1u2
14 + -5u + -1u2 = 2 + -3u + 2u2 + -2 + 3u + -2u2

Reorder the terms:
14 + -5u + -1u2 = 2 + -2 + -3u + 3u + 2u2 + -2u2

Combine like terms: 2 + -2 = 0
14 + -5u + -1u2 = 0 + -3u + 3u + 2u2 + -2u2
14 + -5u + -1u2 = -3u + 3u + 2u2 + -2u2

Combine like terms: -3u + 3u = 0
14 + -5u + -1u2 = 0 + 2u2 + -2u2
14 + -5u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
14 + -5u + -1u2 = 0

Factor a trinomial.
(2 + -1u)(7 + u) = 0


Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

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

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

Divide each side by '-1'.
u = 2

Simplifying
u = 2

Subproblem 2
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
Solution
u = {2, -7}

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