3x^2-4x-192=0

Simple and best practice solution for 3x^2-4x-192=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^2-4x-192=0 equation: 


Simplifying
3x2 + -4x + -192 = 0

Reorder the terms:
-192 + -4x + 3x2 = 0

Solving
-192 + -4x + 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'.
-64 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + -1.333333333x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + -1.333333333x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1.333333333x + x2 = 0 + 64
-1.333333333x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
-1.333333333x + x2 = 64

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = 64 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = 64 + 0.4444444442

Combine like terms: 64 + 0.4444444442 = 64.4444444442
0.4444444442 + -1.333333333x + x2 = 64.4444444442

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = 64.4444444442

Calculate the square root of the right side: 8.027729719

Break this problem into two subproblems by setting 
(x + -0.6666666665) equal to 8.027729719 and -8.027729719.


Subproblem 1
x + -0.6666666665 = 8.027729719

Simplifying
x + -0.6666666665 = 8.027729719

Reorder the terms:
-0.6666666665 + x = 8.027729719

Solving
-0.6666666665 + x = 8.027729719

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = 8.027729719 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = 8.027729719 + 0.6666666665
x = 8.027729719 + 0.6666666665

Combine like terms: 8.027729719 + 0.6666666665 = 8.6943963855
x = 8.6943963855

Simplifying
x = 8.6943963855


Subproblem 2
x + -0.6666666665 = -8.027729719

Simplifying
x + -0.6666666665 = -8.027729719

Reorder the terms:
-0.6666666665 + x = -8.027729719

Solving
-0.6666666665 + x = -8.027729719

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = -8.027729719 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = -8.027729719 + 0.6666666665
x = -8.027729719 + 0.6666666665

Combine like terms: -8.027729719 + 0.6666666665 = -7.3610630525
x = -7.3610630525

Simplifying
x = -7.3610630525


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.6943963855, -7.3610630525}

See similar equations:

| 3lg(2x)= | | 13x+36=4x | | 7X+8X-25=95 | | X^3+15x-38=0 | | 8-(1-2)=11 | | 8/14=x21 | | 180=7x-3(-6x+3) | | d-80=-d-8 | | 12(-8x-25)=1332 | | -6y-5=-77 | | 5y+5=3y | | -24c-80=c-530 | | -s+7=s+41 | | 4(3x+9)=120 | | 6b-10=10b-30 | | g-188=6g-23 | | -7(4+5x)=-308 | | X-4sqrtx=5 | | 9=-3(z+7) | | a+30=-a+8 | | y-987=-27y-7 | | 3x-70=x+6 | | b+4b+2b=28 | | -5x+3=45+x | | -2q+78=q+186 | | 8x-44=2x+70 | | x+15=7x-15 | | 19n+8=n-892 | | tanx+sinx=0.75 | | 4s=2s+36 | | 4/3(z-12) | | s+23=43 |

Equations solver categories