3x(x+1)=2(x-1)

Simple and best practice solution for 3x(x+1)=2(x-1) 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(x+1)=2(x-1) equation:


Simplifying
3x(x + 1) = 2(x + -1)

Reorder the terms:
3x(1 + x) = 2(x + -1)
(1 * 3x + x * 3x) = 2(x + -1)
(3x + 3x2) = 2(x + -1)

Reorder the terms:
3x + 3x2 = 2(-1 + x)
3x + 3x2 = (-1 * 2 + x * 2)
3x + 3x2 = (-2 + 2x)

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

Solving for variable 'x'.

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

Combine like terms: 3x + -2x = 1x
2 + 1x + 3x2 = -2 + 2x + 2 + -2x

Reorder the terms:
2 + 1x + 3x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
2 + 1x + 3x2 = 0 + 2x + -2x
2 + 1x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.3333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.6666666667
0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.3333333333x + x2 = -0.6666666667

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + 0.3333333333x + x2 = -0.63888888891

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2w=19 | | b/13-7b/13=54/13 | | 2x-17=9x+1 | | 6*y-(3y-6)=5y-4 | | 5(1-x)=20 | | x^2-2x=1900 | | 13y-18=-5y+26 | | 12x^3-6x^2-6x=0 | | -2(-1+7)-4=3 | | 3/4=2/3+a | | 2p^2+6p-80=0 | | F+7=58 | | -3=-y-x | | 13=-10+5x-1+3x | | 2x+(x+3)m+2xm+x+3=24 | | 6-(-2x)+(-1.5x)=x | | 16-x(2+4)=52 | | -7(5+5n)=-8n-35 | | 5=-8(3)+b | | -2(3X+4Y)=-4X+3 | | -4(-7+4x)=-5x-16 | | 6-9w=21 | | 9b-2b+4+11=17+33 | | -2-(4*-2-1)=7 | | 3(X-4)=5Y-2 | | 3x+4(4x-9)=97 | | -2-(4*2-1)=7 | | -y=3-2x | | 2(x-5)+6=24 | | 2(X-3Y)=-3 | | 12=-0.2(7)+b | | 8x-7=36-(3x-1) |

Equations solver categories