3u^2-13u-12=0

Simple and best practice solution for 3u^2-13u-12=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^2-13u-12=0 equation: 


Simplifying
3u2 + -13u + -12 = 0

Reorder the terms:
-12 + -13u + 3u2 = 0

Solving
-12 + -13u + 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'.
-4 + -4.333333333u + u2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -4.333333333u + 4 + u2 = 0 + 4

Reorder the terms:
-4 + 4 + -4.333333333u + u2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4.333333333u + u2 = 0 + 4
-4.333333333u + u2 = 0 + 4

Combine like terms: 0 + 4 = 4
-4.333333333u + u2 = 4

The u term is -4.333333333u.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333u + 4.694444446 + u2 = 4 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333u + u2 = 4 + 4.694444446

Combine like terms: 4 + 4.694444446 = 8.694444446
4.694444446 + -4.333333333u + u2 = 8.694444446

Factor a perfect square on the left side:
(u + -2.166666667)(u + -2.166666667) = 8.694444446

Calculate the square root of the right side: 2.948634336

Break this problem into two subproblems by setting 
(u + -2.166666667) equal to 2.948634336 and -2.948634336.


Subproblem 1
u + -2.166666667 = 2.948634336

Simplifying
u + -2.166666667 = 2.948634336

Reorder the terms:
-2.166666667 + u = 2.948634336

Solving
-2.166666667 + u = 2.948634336

Solving for variable 'u'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + u = 2.948634336 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + u = 2.948634336 + 2.166666667
u = 2.948634336 + 2.166666667

Combine like terms: 2.948634336 + 2.166666667 = 5.115301003
u = 5.115301003

Simplifying
u = 5.115301003


Subproblem 2
u + -2.166666667 = -2.948634336

Simplifying
u + -2.166666667 = -2.948634336

Reorder the terms:
-2.166666667 + u = -2.948634336

Solving
-2.166666667 + u = -2.948634336

Solving for variable 'u'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + u = -2.948634336 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + u = -2.948634336 + 2.166666667
u = -2.948634336 + 2.166666667

Combine like terms: -2.948634336 + 2.166666667 = -0.781967669
u = -0.781967669

Simplifying
u = -0.781967669


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {5.115301003, -0.781967669}

See similar equations:

| -32*8/1= | | 18x+11=37-1x | | 0.2k+0.2k-0.04=4.02 | | 9x^2-3x^2= | | 18x+11=37-2x | | 27=-16t^2+484 | | 22m+19=13m+41 | | 7k+1=8 | | -3u^2+17u-20=0 | | X^3+7X^2-13X=0 | | 3(y-5)=7-15 | | 15x-6=10-3x | | 44+4y-13=14y-11-4y | | -414/-6 | | 4x+10=21 | | 5(4x-2)=21x | | 4u^2-16u+15=0 | | -6(6x-9)=-36x-54 | | 6-3(-4m+2)+5m=0 | | 6(x-8)=5(x-4) | | (y^3/3x^3)=0 | | 6g+3(-4+2g)=1-g | | 4f+2=18 | | 10x^3y^4/25x^-8y^10 | | 2v^2+v-28=0 | | 5x-9=5+11x | | (3x-5)+(6x-8)= | | -7x-8x+2=32 | | -5(2n-4m)=0 | | 17-11=x/-6 | | -144/2 | | 3x+2(4x-2)-6=0 |

Equations solver categories