3x^2+4x=-4

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


Simplifying
3x2 + 4x = -4

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

Solving
4x + 3x2 = -4

Solving for variable 'x'.

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

Combine like terms: -4 + 4 = 0
4 + 4x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

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

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

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -1.333333333
1.333333333x + x2 = 0 + -1.333333333

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

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 = -1.333333333 + 0.4444444442

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

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + 1.333333333x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4n+3-3n=2n-4 | | 10+3a=70 | | 8(x-32)=16 | | 9x^7-21x^4/3x^3 | | 6a+11=3a+29 | | 6u^2+60u=96 | | 8a+18=5a+36 | | 60y+25x=4000 | | 60y+25y=4000 | | 50x+30x=3810 | | 12x+4x=-192 | | 12x-4x=-192 | | -33+3+m=-1+6 | | -26+2+m=-2+12 | | 9(6n^2-7)-2(27n^2+2)= | | -2=3x-4y | | 9x-8x+5=-7 | | -3x=4-13 | | 42+n=12 | | 12*2-6y=-18 | | 12*1-6y=-18 | | 63=19x-10x | | y-49=14 | | 12*0-6y=-18 | | m-14=-21 | | 12*-1-6y=-18 | | -2-3=5y | | m+14=-21 | | 12*-2-6y=-18 | | -2*2+4y=16 | | 6=17x-14x | | -2*1+4y=16 |

Equations solver categories