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

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


Simplifying
2x(x + -1) + -1x(x + -2) = 2x2 + 3x

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

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

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

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

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

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

Solving
1x2 = 3x + 2x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0, -3}

See similar equations:

| X^2-38x+360=0 | | 4(x+5)=2(2x+2)+16 | | Nsquared+12n=28 | | 3x+4y+16=130 | | 3m(m+1)=6m+1 | | .23y-1.7=.13y+1-.8y | | -x-7=5x-(11+7x) | | -3x=21+4x | | 3t-21=-23+5t | | 6[w-4]+18=30 | | -160=-30x+40 | | 74+4y-34=15y-9-4y | | 3a-5-a+3=18 | | x+24+3x=-11-3x-14 | | -34=b+42-5v | | x-.7=8.37 | | 3x+-10=-52 | | 2[4p+8]=128 | | 16+5x=111 | | 4x+5-7(x+1)=5x+3 | | 3(2x+1)-3=5x-8 | | 3w+-6=-24 | | 4x^2+21x=5x-25 | | (r)=pi(r)*2+5(pi)r | | 2m+8-4m=-24 | | 3xw+-6=-24 | | -5(1x+9)=105 | | 60=4x(x) | | 25x^2+8=72 | | -7+m=18 | | 2(4x-6)+7=6x-13 | | -3=7(h+2)+11 |

Equations solver categories