3u^2-19u+4=0

Simple and best practice solution for 3u^2-19u+4=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3u^2-19u+4=0 equation: 


Simplifying
3u2 + -19u + 4 = 0

Reorder the terms:
4 + -19u + 3u2 = 0

Solving
4 + -19u + 3u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.333333333 + -6.333333333u + u2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -6.333333333u + -1.333333333 + u2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -6.333333333u + u2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -6.333333333u + u2 = 0 + -1.333333333
-6.333333333u + u2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-6.333333333u + u2 = -1.333333333

The u term is -6.333333333u.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333u + 10.02777778 + u2 = -1.333333333 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333u + u2 = -1.333333333 + 10.02777778

Combine like terms: -1.333333333 + 10.02777778 = 8.694444447
10.02777778 + -6.333333333u + u2 = 8.694444447

Factor a perfect square on the left side:
(u + -3.166666667)(u + -3.166666667) = 8.694444447

Calculate the square root of the right side: 2.948634336

Break this problem into two subproblems by setting 
(u + -3.166666667) equal to 2.948634336 and -2.948634336.


Subproblem 1
u + -3.166666667 = 2.948634336

Simplifying
u + -3.166666667 = 2.948634336

Reorder the terms:
-3.166666667 + u = 2.948634336

Solving
-3.166666667 + u = 2.948634336

Solving for variable 'u'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + u = 2.948634336 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + u = 2.948634336 + 3.166666667
u = 2.948634336 + 3.166666667

Combine like terms: 2.948634336 + 3.166666667 = 6.115301003
u = 6.115301003

Simplifying
u = 6.115301003


Subproblem 2
u + -3.166666667 = -2.948634336

Simplifying
u + -3.166666667 = -2.948634336

Reorder the terms:
-3.166666667 + u = -2.948634336

Solving
-3.166666667 + u = -2.948634336

Solving for variable 'u'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + u = -2.948634336 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + u = -2.948634336 + 3.166666667
u = -2.948634336 + 3.166666667

Combine like terms: -2.948634336 + 3.166666667 = 0.218032331
u = 0.218032331

Simplifying
u = 0.218032331


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {6.115301003, 0.218032331}

See similar equations:

| 7x-6+2=4+6 | | 8+x+1=12 | | 12x^2-96x+135=0 | | 24=6x-2x+3 | | 2x-10x+12=0 | | 2x-3x+1=13 | | 3y/y | | -2x^2-4x-2=-8 | | -x-x-x-x-x-x=15+5 | | 13-10+22*5= | | -4(x+y)= | | 3y=1/2y+20 | | 2-25/25+11 | | 4+3p=16 | | 21-5(x+10)=-14 | | 10(2x-3)-5x=0 | | K/5=-3.9 | | 16-4(1)(9)= | | 8-4(1)(9)= | | 12x^2-130x+252=0 | | -0.01(5x+4)=0.04-0.01(x-4) | | (3x-x^2)/(x+3)^2 | | 10(T-1)=8(T+2)-T | | yx^2+6xy+9y-3x+x^2=0 | | yx^2+6xy+9y+3x-x^2=0 | | 5+6w=2+12w | | 4-4(2)(-8)= | | Y^2-4y-8x-28=0 | | -x^2+28x=160 | | 4.00x+20.00=32 | | -(15-5s)-(9s+1)=48 | | ln(x+9)+ln(x-2)=2ln(x) |

Equations solver categories