3x^2-12x-11=0

Simple and best practice solution for 3x^2-12x-11=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 3x^2-12x-11=0 equation: 


Simplifying
3x2 + -12x + -11 = 0

Reorder the terms:
-11 + -12x + 3x2 = 0

Solving
-11 + -12x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-3.666666667 + -4x + x2 = 0

Move the constant term to the right:

Add '3.666666667' to each side of the equation.
-3.666666667 + -4x + 3.666666667 + x2 = 0 + 3.666666667

Reorder the terms:
-3.666666667 + 3.666666667 + -4x + x2 = 0 + 3.666666667

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + 3.666666667
-4x + x2 = 0 + 3.666666667

Combine like terms: 0 + 3.666666667 = 3.666666667
-4x + x2 = 3.666666667

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 3.666666667 + 4

Reorder the terms:
4 + -4x + x2 = 3.666666667 + 4

Combine like terms: 3.666666667 + 4 = 7.666666667
4 + -4x + x2 = 7.666666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = 7.666666667

Calculate the square root of the right side: 2.768874621

Break this problem into two subproblems by setting 
(x + -2) equal to 2.768874621 and -2.768874621.


Subproblem 1
x + -2 = 2.768874621

Simplifying
x + -2 = 2.768874621

Reorder the terms:
-2 + x = 2.768874621

Solving
-2 + x = 2.768874621

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 2.768874621 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.768874621 + 2
x = 2.768874621 + 2

Combine like terms: 2.768874621 + 2 = 4.768874621
x = 4.768874621

Simplifying
x = 4.768874621


Subproblem 2
x + -2 = -2.768874621

Simplifying
x + -2 = -2.768874621

Reorder the terms:
-2 + x = -2.768874621

Solving
-2 + x = -2.768874621

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -2.768874621 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.768874621 + 2
x = -2.768874621 + 2

Combine like terms: -2.768874621 + 2 = -0.768874621
x = -0.768874621

Simplifying
x = -0.768874621


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.768874621, -0.768874621}

See similar equations:

| 2x^7+3x^3+5=0 | | x^2-x^2+x^2+6=0 | | 7x+2y+5z-2x+3z-6y= | | 3x(x+1)=3x(3-x) | | 4(x-1)=6x+5 | | (4x+2)(9x-7)=(6x-3)(6x+5) | | a+2b=5 | | x^3-7x^2-15x-42=0 | | 5x=10y | | y=x^2*x | | 5(x+1)=3(x+4) | | 2(c+3)=c-135 | | 4(x-2)=3(x+12) | | 23=2x+65y | | 7x=40+2x | | 9x=35-2x | | 36x=146x+5373x-89x | | 9x+3x-12=12 | | 5x-4x=40 | | 1.75a+8.75=3a+7.5 | | -16t^2=160 | | 36-6(2+2+2)= | | 3(x-2)=4(x+3) | | 2+(4+n)=8 | | K^2=5k | | 3x^3=x+4 | | .58*1.5= | | x(2+3j)-y(4+2j)=10-j | | -4=5(-1)+b | | -x+43=5(x-1) | | 60p+40=80p | | 3(2x-2)+1=13 |

Equations solver categories