12x^2-6x-4=0

Simple and best practice solution for 12x^2-6x-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 12x^2-6x-4=0 equation: 


Simplifying
12x2 + -6x + -4 = 0

Reorder the terms:
-4 + -6x + 12x2 = 0

Solving
-4 + -6x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -3x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x + 6x2)' equal to zero and attempt to solve:

Simplifying
-2 + -3x + 6x2 = 0

Solving
-2 + -3x + 6x2 = 0

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

Divide each side by '6'.
-0.3333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + -0.5x + 0.3333333333 + x2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + -0.5x + x2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0 + 0.3333333333
-0.5x + x2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
-0.5x + x2 = 0.3333333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = 0.3333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = 0.3333333333 + 0.0625

Combine like terms: 0.3333333333 + 0.0625 = 0.3958333333
0.0625 + -0.5x + x2 = 0.3958333333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = 0.3958333333

Calculate the square root of the right side: 0.62915287

Break this problem into two subproblems by setting 
(x + -0.25) equal to 0.62915287 and -0.62915287.


Subproblem 1
x + -0.25 = 0.62915287

Simplifying
x + -0.25 = 0.62915287

Reorder the terms:
-0.25 + x = 0.62915287

Solving
-0.25 + x = 0.62915287

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = 0.62915287 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = 0.62915287 + 0.25
x = 0.62915287 + 0.25

Combine like terms: 0.62915287 + 0.25 = 0.87915287
x = 0.87915287

Simplifying
x = 0.87915287


Subproblem 2
x + -0.25 = -0.62915287

Simplifying
x + -0.25 = -0.62915287

Reorder the terms:
-0.25 + x = -0.62915287

Solving
-0.25 + x = -0.62915287

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = -0.62915287 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = -0.62915287 + 0.25
x = -0.62915287 + 0.25

Combine like terms: -0.62915287 + 0.25 = -0.37915287
x = -0.37915287

Simplifying
x = -0.37915287


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.87915287, -0.37915287}
Solution
x = {0.87915287, -0.37915287}

See similar equations:

| 6t-54= | | 6=7+v | | 2x^2+20x-100=0 | | 5(-2y+1)+3y=-23 | | 6x+3+8x=13 | | x-29=-20 | | 3r+7=9 | | 20=8+w*w | | 2(-x+4)+-4x=x+12 | | 2.8q-5.6-3.1q=-1.3q-1.5 | | 8=4x-5x-3 | | s/-4=30 | | 5(p-3)=30 | | 12x+20y=-80 | | x-4x+6=-3x+2x | | An=5n | | 30a^2-25a=5a | | 30a^2-258a=5a | | 4+8=2 | | -(-1+x)=5 | | 97+89=165y | | 8t-7=3z-7+5z | | 2=18x | | 3x+5y=86 | | 3(2x-4)-12=2x+8 | | -3+6x+7x=-146 | | 6(2x+4)-3(x-8)=75 | | H=-16t^2+30*t+h | | -5x-18=22 | | -4x+2x+3=3x+13 | | 2(x-3)+2(x-1)=p | | 2-b=-4 |

Equations solver categories