3x^2=2x-2

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


Simplifying
3x2 = 2x + -2

Reorder the terms:
3x2 = -2 + 2x

Solving
3x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
2 + -2x + 3x2 = -2 + 2x + 2 + -2x

Reorder the terms:
2 + -2x + 3x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
2 + -2x + 3x2 = 0 + 2x + -2x
2 + -2x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -2x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.6666666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.6666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.6666666667
-0.6666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.6666666667x + x2 = -0.6666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.6666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.6666666667 + 0.1111111112

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + -0.6666666667x + x2 = -0.5555555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.5555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4p-4p= | | 15x-5x^2+10=0 | | 2x-5x=-16+-15 | | -2(6x+5)+4=12x+14 | | 7.3x-5.18=-51.9 | | 2n^2-13n+6= | | x^2+2x+8=23 | | 4(-6+x)=-8 | | 20x-5x^2+10=0 | | 3(2x+9)-9(4+x)=3(5+x)-2(x+6) | | -5(4x+4)=-40 | | -8y-2x=-8 | | 27x^2-3x-4=0 | | 2x^6+14x^5-6x^4-42x^3=0 | | 9-6b=-5(b-1) | | y=ln-3+4xln | | -7(2x+4)=-84 | | 13p-12=p+12 | | 2/7m-3/5m=4 | | 20x^2+9x+1=0 | | 8-3a=-16 | | -x-6=5x-36 | | 4w-29=7 | | -6x+5=29x-2 | | 2x-(14+x)=1 | | 2n-1/3=24 | | 15(1t+2)+9t=6 | | k/4=11 | | 2x^2-13+47=0 | | 5x-1=-1+3x | | -6x-5=25 | | 1/4+4/5 |

Equations solver categories