4x(x+1)-x(x-2)=3(x-2)(x+1)

Simple and best practice solution for 4x(x+1)-x(x-2)=3(x-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 4x(x+1)-x(x-2)=3(x-2)(x+1) equation:


Simplifying
4x(x + 1) + -1x(x + -2) = 3(x + -2)(x + 1)

Reorder the terms:
4x(1 + x) + -1x(x + -2) = 3(x + -2)(x + 1)
(1 * 4x + x * 4x) + -1x(x + -2) = 3(x + -2)(x + 1)
(4x + 4x2) + -1x(x + -2) = 3(x + -2)(x + 1)

Reorder the terms:
4x + 4x2 + -1x(-2 + x) = 3(x + -2)(x + 1)
4x + 4x2 + (-2 * -1x + x * -1x) = 3(x + -2)(x + 1)
4x + 4x2 + (2x + -1x2) = 3(x + -2)(x + 1)

Reorder the terms:
4x + 2x + 4x2 + -1x2 = 3(x + -2)(x + 1)

Combine like terms: 4x + 2x = 6x
6x + 4x2 + -1x2 = 3(x + -2)(x + 1)

Combine like terms: 4x2 + -1x2 = 3x2
6x + 3x2 = 3(x + -2)(x + 1)

Reorder the terms:
6x + 3x2 = 3(-2 + x)(x + 1)

Reorder the terms:
6x + 3x2 = 3(-2 + x)(1 + x)

Multiply (-2 + x) * (1 + x)
6x + 3x2 = 3(-2(1 + x) + x(1 + x))
6x + 3x2 = 3((1 * -2 + x * -2) + x(1 + x))
6x + 3x2 = 3((-2 + -2x) + x(1 + x))
6x + 3x2 = 3(-2 + -2x + (1 * x + x * x))
6x + 3x2 = 3(-2 + -2x + (1x + x2))

Combine like terms: -2x + 1x = -1x
6x + 3x2 = 3(-2 + -1x + x2)
6x + 3x2 = (-2 * 3 + -1x * 3 + x2 * 3)
6x + 3x2 = (-6 + -3x + 3x2)

Add '-3x2' to each side of the equation.
6x + 3x2 + -3x2 = -6 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x + 0 = -6 + -3x + 3x2 + -3x2
6x = -6 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x = -6 + -3x + 0
6x = -6 + -3x

Solving
6x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6x + 3x = -6 + -3x + 3x

Combine like terms: 6x + 3x = 9x
9x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
9x = -6 + 0
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

See similar equations:

| 5x+9x-17=4(x-1)-34 | | 13=5a-7 | | 12x-18=42 | | 2x-28=16 | | 6(12y+8)-3(4y+6)=0 | | 6x+2x^2-7x+5=12x^2-30x | | -14+2x=3 | | 4x=6-y | | X=-53 | | 2-6x=2x-14 | | 6b+3-2b=-17 | | h^2+26h-8=0 | | 8k+60=22 | | NM=x+23 | | -3p=q-60 | | 26-2x=-4 | | 26-2x= | | 34=6x+11x | | 2(y+3)+6y=38 | | 34-5x=17+12x | | X+y=2015 | | 24x*3y= | | 14m+5n-5m+11N= | | 4(x+5)=3(x+4)+x | | -7(2t+8)=-28 | | 4.8k=13.92 | | 6u+4(u-4)=24 | | 2(36-5+x)=6x | | 39=2x+3(x+8) | | -5p=q+25 | | 2a-a=-2 | | 5x-6x+9=7x+41 |

Equations solver categories