(u-6)(u-6)=2u^2-15u+8

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Solution for (u-6)(u-6)=2u^2-15u+8 equation: 


Simplifying
(u + -6)(u + -6) = 2u2 + -15u + 8

Reorder the terms:
(-6 + u)(u + -6) = 2u2 + -15u + 8

Reorder the terms:
(-6 + u)(-6 + u) = 2u2 + -15u + 8

Multiply (-6 + u) * (-6 + u)
(-6(-6 + u) + u(-6 + u)) = 2u2 + -15u + 8
((-6 * -6 + u * -6) + u(-6 + u)) = 2u2 + -15u + 8
((36 + -6u) + u(-6 + u)) = 2u2 + -15u + 8
(36 + -6u + (-6 * u + u * u)) = 2u2 + -15u + 8
(36 + -6u + (-6u + u2)) = 2u2 + -15u + 8

Combine like terms: -6u + -6u = -12u
(36 + -12u + u2) = 2u2 + -15u + 8

Reorder the terms:
36 + -12u + u2 = 8 + -15u + 2u2

Solving
36 + -12u + u2 = 8 + -15u + 2u2

Solving for variable 'u'.

Reorder the terms:
36 + -8 + -12u + 15u + u2 + -2u2 = 8 + -15u + 2u2 + -8 + 15u + -2u2

Combine like terms: 36 + -8 = 28
28 + -12u + 15u + u2 + -2u2 = 8 + -15u + 2u2 + -8 + 15u + -2u2

Combine like terms: -12u + 15u = 3u
28 + 3u + u2 + -2u2 = 8 + -15u + 2u2 + -8 + 15u + -2u2

Combine like terms: u2 + -2u2 = -1u2
28 + 3u + -1u2 = 8 + -15u + 2u2 + -8 + 15u + -2u2

Reorder the terms:
28 + 3u + -1u2 = 8 + -8 + -15u + 15u + 2u2 + -2u2

Combine like terms: 8 + -8 = 0
28 + 3u + -1u2 = 0 + -15u + 15u + 2u2 + -2u2
28 + 3u + -1u2 = -15u + 15u + 2u2 + -2u2

Combine like terms: -15u + 15u = 0
28 + 3u + -1u2 = 0 + 2u2 + -2u2
28 + 3u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
28 + 3u + -1u2 = 0

Factor a trinomial.
(7 + -1u)(4 + u) = 0


Subproblem 1
Set the factor '(7 + -1u)' equal to zero and attempt to solve:

Simplifying
7 + -1u = 0

Solving
7 + -1u = 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 + -1u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = 0 + -7
-1u = 0 + -7

Combine like terms: 0 + -7 = -7
-1u = -7

Divide each side by '-1'.
u = 7

Simplifying
u = 7

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 = {7, -4}

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