(X-3)(X+2)=2X+4

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


Simplifying
(X + -3)(X + 2) = 2X + 4

Reorder the terms:
(-3 + X)(X + 2) = 2X + 4

Reorder the terms:
(-3 + X)(2 + X) = 2X + 4

Multiply (-3 + X) * (2 + X)
(-3(2 + X) + X(2 + X)) = 2X + 4
((2 * -3 + X * -3) + X(2 + X)) = 2X + 4
((-6 + -3X) + X(2 + X)) = 2X + 4
(-6 + -3X + (2 * X + X * X)) = 2X + 4
(-6 + -3X + (2X + X2)) = 2X + 4

Combine like terms: -3X + 2X = -1X
(-6 + -1X + X2) = 2X + 4

Reorder the terms:
-6 + -1X + X2 = 4 + 2X

Solving
-6 + -1X + X2 = 4 + 2X

Solving for variable 'X'.

Reorder the terms:
-6 + -4 + -1X + -2X + X2 = 4 + 2X + -4 + -2X

Combine like terms: -6 + -4 = -10
-10 + -1X + -2X + X2 = 4 + 2X + -4 + -2X

Combine like terms: -1X + -2X = -3X
-10 + -3X + X2 = 4 + 2X + -4 + -2X

Reorder the terms:
-10 + -3X + X2 = 4 + -4 + 2X + -2X

Combine like terms: 4 + -4 = 0
-10 + -3X + X2 = 0 + 2X + -2X
-10 + -3X + X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
-10 + -3X + X2 = 0

Factor a trinomial.
(-2 + -1X)(5 + -1X) = 0


Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve:

Simplifying
-2 + -1X = 0

Solving
-2 + -1X = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1X = 0 + 2

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

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

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

Simplifying
X = -2

Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5
Solution
X = {-2, 5}

See similar equations:

| 24/8=4x+2(-7x) | | 5x+25=2x+88 | | 2x+1=x-3/6 | | 2x+12=5x+2 | | 30+X=4X | | A^1+A^2+A^3=180forA^1 | | 4x+6=x+5 | | n+30=42 | | -7(-6+5m)=217 | | 1/3x+x=4.8 | | 5(x+2)2+20=0 | | -49c=6c-13-4c | | 8x-40=15x+30 | | 79=8x+7 | | (2x^2/4)(24/x^3) | | -3(1+4n)=-87 | | 3x-1/3+7-x/4-4-5x/16=2 | | 0=x^3+2x^2+3x+4 | | 8z^2+14z+5= | | 5+x/2=-5 | | 6-8x+7=0 | | 3+10(x+10)=7(x-2)+9 | | 2x+90-x+x-30=180 | | 3(x-2)(x-2)= | | (3x-6)(x-2)= | | b-2.3=-5 | | 0=6400-384-4 | | 3(x-4)(x+1)= | | 33+8+2c=57 | | (2x+6)=79 | | k/9+8=9 | | 6(x+2)=3(x+12) |

Equations solver categories