24u+48=4u^2+21u+26

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Solution for 24u+48=4u^2+21u+26 equation: 


Simplifying
24u + 48 = 4u2 + 21u + 26

Reorder the terms:
48 + 24u = 4u2 + 21u + 26

Reorder the terms:
48 + 24u = 26 + 21u + 4u2

Solving
48 + 24u = 26 + 21u + 4u2

Solving for variable 'u'.

Reorder the terms:
48 + -26 + 24u + -21u + -4u2 = 26 + 21u + 4u2 + -26 + -21u + -4u2

Combine like terms: 48 + -26 = 22
22 + 24u + -21u + -4u2 = 26 + 21u + 4u2 + -26 + -21u + -4u2

Combine like terms: 24u + -21u = 3u
22 + 3u + -4u2 = 26 + 21u + 4u2 + -26 + -21u + -4u2

Reorder the terms:
22 + 3u + -4u2 = 26 + -26 + 21u + -21u + 4u2 + -4u2

Combine like terms: 26 + -26 = 0
22 + 3u + -4u2 = 0 + 21u + -21u + 4u2 + -4u2
22 + 3u + -4u2 = 21u + -21u + 4u2 + -4u2

Combine like terms: 21u + -21u = 0
22 + 3u + -4u2 = 0 + 4u2 + -4u2
22 + 3u + -4u2 = 4u2 + -4u2

Combine like terms: 4u2 + -4u2 = 0
22 + 3u + -4u2 = 0

Factor a trinomial.
(11 + -4u)(2 + u) = 0


Subproblem 1
Set the factor '(11 + -4u)' equal to zero and attempt to solve:

Simplifying
11 + -4u = 0

Solving
11 + -4u = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4u = 0 + -11
-4u = 0 + -11

Combine like terms: 0 + -11 = -11
-4u = -11

Divide each side by '-4'.
u = 2.75

Simplifying
u = 2.75

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 = {2.75, -2}

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