(X-3)(X+2)-(X-2)(X+3)=2

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


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

Reorder the terms:
(-3 + X)(X + 2) + -1(X + -2)(X + 3) = 2

Reorder the terms:
(-3 + X)(2 + X) + -1(X + -2)(X + 3) = 2

Multiply (-3 + X) * (2 + X)
(-3(2 + X) + X(2 + X)) + -1(X + -2)(X + 3) = 2
((2 * -3 + X * -3) + X(2 + X)) + -1(X + -2)(X + 3) = 2
((-6 + -3X) + X(2 + X)) + -1(X + -2)(X + 3) = 2
(-6 + -3X + (2 * X + X * X)) + -1(X + -2)(X + 3) = 2
(-6 + -3X + (2X + X2)) + -1(X + -2)(X + 3) = 2

Combine like terms: -3X + 2X = -1X
(-6 + -1X + X2) + -1(X + -2)(X + 3) = 2

Reorder the terms:
-6 + -1X + X2 + -1(-2 + X)(X + 3) = 2

Reorder the terms:
-6 + -1X + X2 + -1(-2 + X)(3 + X) = 2

Multiply (-2 + X) * (3 + X)
-6 + -1X + X2 + -1(-2(3 + X) + X(3 + X)) = 2
-6 + -1X + X2 + -1((3 * -2 + X * -2) + X(3 + X)) = 2
-6 + -1X + X2 + -1((-6 + -2X) + X(3 + X)) = 2
-6 + -1X + X2 + -1(-6 + -2X + (3 * X + X * X)) = 2
-6 + -1X + X2 + -1(-6 + -2X + (3X + X2)) = 2

Combine like terms: -2X + 3X = 1X
-6 + -1X + X2 + -1(-6 + 1X + X2) = 2
-6 + -1X + X2 + (-6 * -1 + 1X * -1 + X2 * -1) = 2
-6 + -1X + X2 + (6 + -1X + -1X2) = 2

Reorder the terms:
-6 + 6 + -1X + -1X + X2 + -1X2 = 2

Combine like terms: -6 + 6 = 0
0 + -1X + -1X + X2 + -1X2 = 2
-1X + -1X + X2 + -1X2 = 2

Combine like terms: -1X + -1X = -2X
-2X + X2 + -1X2 = 2

Combine like terms: X2 + -1X2 = 0
-2X + 0 = 2
-2X = 2

Solving
-2X = 2

Solving for variable 'X'.

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

Divide each side by '-2'.
X = -1

Simplifying
X = -1

See similar equations:

| .5a+9=13 | | 7x+6y=128 | | Q=45*10*5 | | -7b-11=-46 | | 6h=102 | | 2y+x=0.21 | | 0.5r+2.75= | | 9d+2d+6d+8-6d=0 | | 4(m+4)+2=3(m+6) | | x+6=-4-1+x+11 | | P-8=53 | | 199=-5n-8(6n-5) | | 2s-11+4s=6+1 | | 8y+8=80 | | .5a+9=15 | | F-9=10 | | 22/11/13 | | 2x+5+10x-3=62 | | 18=j-10 | | 2h^2-h-6=0 | | 4(6m-5)=-140 | | .5a+7=17 | | 2x+13=-8x-18 | | 3t+3=12 | | 2m-7=49 | | 34(t)=-16t^2+80t+5 | | 19D-6=3D | | 5+(3+x)=19 | | 26x=5x+7 | | 9m^2-6m=0 | | 5t-5=-40 | | -5g-13=22 |

Equations solver categories