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:
3x2 = -4 + 4x

Solving
3x2 = -4 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 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:

| a+6=15 | | -1+t=2 | | a+2=13 | | t-3=4 | | w-1=-2 | | b+3=-2 | | -6x(64-8/1+7)= | | 6/2=21/7 | | 13=n+2 | | 3w=-15 | | 9=k+9 | | .02(62)-.08s=.06(s+9) | | 84=2x+18 | | -5b=20 | | 2=m+1 | | -5m=-55 | | -5w=55 | | 2w=-8 | | 0.6(3x+8)=1.9-(x-3) | | x^2-8x+16=9 | | k-3=-15 | | 9=m+7 | | 9+k=6 | | -5=k-5 | | 15=t+9 | | 10+v/3=16 | | w-8=-14 | | 9+k=0 | | t+3=14 | | 8+m=16 | | 10/4=15/6 | | N/9-8=-6 |

Equations solver categories