u^2-8u+3=(2u-8)(u+3)

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


Simplifying
u2 + -8u + 3 = (2u + -8)(u + 3)

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

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

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

Multiply (-8 + 2u) * (3 + u)
3 + -8u + u2 = (-8(3 + u) + 2u * (3 + u))
3 + -8u + u2 = ((3 * -8 + u * -8) + 2u * (3 + u))
3 + -8u + u2 = ((-24 + -8u) + 2u * (3 + u))
3 + -8u + u2 = (-24 + -8u + (3 * 2u + u * 2u))
3 + -8u + u2 = (-24 + -8u + (6u + 2u2))

Combine like terms: -8u + 6u = -2u
3 + -8u + u2 = (-24 + -2u + 2u2)

Solving
3 + -8u + u2 = -24 + -2u + 2u2

Solving for variable 'u'.

Reorder the terms:
3 + 24 + -8u + 2u + u2 + -2u2 = -24 + -2u + 2u2 + 24 + 2u + -2u2

Combine like terms: 3 + 24 = 27
27 + -8u + 2u + u2 + -2u2 = -24 + -2u + 2u2 + 24 + 2u + -2u2

Combine like terms: -8u + 2u = -6u
27 + -6u + u2 + -2u2 = -24 + -2u + 2u2 + 24 + 2u + -2u2

Combine like terms: u2 + -2u2 = -1u2
27 + -6u + -1u2 = -24 + -2u + 2u2 + 24 + 2u + -2u2

Reorder the terms:
27 + -6u + -1u2 = -24 + 24 + -2u + 2u + 2u2 + -2u2

Combine like terms: -24 + 24 = 0
27 + -6u + -1u2 = 0 + -2u + 2u + 2u2 + -2u2
27 + -6u + -1u2 = -2u + 2u + 2u2 + -2u2

Combine like terms: -2u + 2u = 0
27 + -6u + -1u2 = 0 + 2u2 + -2u2
27 + -6u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
27 + -6u + -1u2 = 0

Factor a trinomial.
(3 + -1u)(9 + u) = 0


Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3

Subproblem 2
Set the factor '(9 + u)' equal to zero and attempt to solve:

Simplifying
9 + u = 0

Solving
9 + u = 0

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

Add '-9' to each side of the equation.
9 + -9 + u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + u = 0 + -9
u = 0 + -9

Combine like terms: 0 + -9 = -9
u = -9

Simplifying
u = -9
Solution
u = {3, -9}

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