0=-5u^2+39u-28

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Solution for 0=-5u^2+39u-28 equation: 


Simplifying
0 = -5u2 + 39u + -28

Reorder the terms:
0 = -28 + 39u + -5u2

Solving
0 = -28 + 39u + -5u2

Solving for variable 'u'.

Combine like terms: 0 + 28 = 28
28 + -39u + 5u2 = -28 + 39u + -5u2 + 28 + -39u + 5u2

Reorder the terms:
28 + -39u + 5u2 = -28 + 28 + 39u + -39u + -5u2 + 5u2

Combine like terms: -28 + 28 = 0
28 + -39u + 5u2 = 0 + 39u + -39u + -5u2 + 5u2
28 + -39u + 5u2 = 39u + -39u + -5u2 + 5u2

Combine like terms: 39u + -39u = 0
28 + -39u + 5u2 = 0 + -5u2 + 5u2
28 + -39u + 5u2 = -5u2 + 5u2

Combine like terms: -5u2 + 5u2 = 0
28 + -39u + 5u2 = 0

Factor a trinomial.
(4 + -5u)(7 + -1u) = 0


Subproblem 1
Set the factor '(4 + -5u)' equal to zero and attempt to solve:

Simplifying
4 + -5u = 0

Solving
4 + -5u = 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 + -5u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5u = 0 + -4
-5u = 0 + -4

Combine like terms: 0 + -4 = -4
-5u = -4

Divide each side by '-5'.
u = 0.8

Simplifying
u = 0.8

Subproblem 2
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
Solution
u = {0.8, 7}

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