(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 = 24
24 + -8u + 10u + u2 + -2u2 = -8 + -10u + 2u2 + 8 + 10u + -2u2

Combine like terms: -8u + 10u = 2u
24 + 2u + u2 + -2u2 = -8 + -10u + 2u2 + 8 + 10u + -2u2

Combine like terms: u2 + -2u2 = -1u2
24 + 2u + -1u2 = -8 + -10u + 2u2 + 8 + 10u + -2u2

Reorder the terms:
24 + 2u + -1u2 = -8 + 8 + -10u + 10u + 2u2 + -2u2

Combine like terms: -8 + 8 = 0
24 + 2u + -1u2 = 0 + -10u + 10u + 2u2 + -2u2
24 + 2u + -1u2 = -10u + 10u + 2u2 + -2u2

Combine like terms: -10u + 10u = 0
24 + 2u + -1u2 = 0 + 2u2 + -2u2
24 + 2u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
24 + 2u + -1u2 = 0

Factor a trinomial.
(6 + -1u)(4 + u) = 0


Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6

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 = {6, -4}

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