(u-4)(u-4)=2u^2-10u+8

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Solution for (u-4)(u-4)=2u^2-10u+8 equation: 


Simplifying
(u + -4)(u + -4) = 2u2 + -10u + 8

Reorder the terms:
(-4 + u)(u + -4) = 2u2 + -10u + 8

Reorder the terms:
(-4 + u)(-4 + u) = 2u2 + -10u + 8

Multiply (-4 + u) * (-4 + u)
(-4(-4 + u) + u(-4 + u)) = 2u2 + -10u + 8
((-4 * -4 + u * -4) + u(-4 + u)) = 2u2 + -10u + 8
((16 + -4u) + u(-4 + u)) = 2u2 + -10u + 8
(16 + -4u + (-4 * u + u * u)) = 2u2 + -10u + 8
(16 + -4u + (-4u + u2)) = 2u2 + -10u + 8

Combine like terms: -4u + -4u = -8u
(16 + -8u + u2) = 2u2 + -10u + 8

Reorder the terms:
16 + -8u + u2 = 8 + -10u + 2u2

Solving
16 + -8u + u2 = 8 + -10u + 2u2

Solving for variable 'u'.

Reorder the terms:
16 + -8 + -8u + 10u + u2 + -2u2 = 8 + -10u + 2u2 + -8 + 10u + -2u2

Combine like terms: 16 + -8 = 8
8 + -8u + 10u + u2 + -2u2 = 8 + -10u + 2u2 + -8 + 10u + -2u2

Combine like terms: -8u + 10u = 2u
8 + 2u + u2 + -2u2 = 8 + -10u + 2u2 + -8 + 10u + -2u2

Combine like terms: u2 + -2u2 = -1u2
8 + 2u + -1u2 = 8 + -10u + 2u2 + -8 + 10u + -2u2

Reorder the terms:
8 + 2u + -1u2 = 8 + -8 + -10u + 10u + 2u2 + -2u2

Combine like terms: 8 + -8 = 0
8 + 2u + -1u2 = 0 + -10u + 10u + 2u2 + -2u2
8 + 2u + -1u2 = -10u + 10u + 2u2 + -2u2

Combine like terms: -10u + 10u = 0
8 + 2u + -1u2 = 0 + 2u2 + -2u2
8 + 2u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
8 + 2u + -1u2 = 0

Factor a trinomial.
(4 + -1u)(2 + 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 '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 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 + u = 0 + -2

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

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

Simplifying
u = -2
Solution
u = {4, -2}

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