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

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


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

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

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

Multiply (3 + -2x) * (2 + -1x)
6 + -1x + -1x2 = 2(3(2 + -1x) + -2x * (2 + -1x))
6 + -1x + -1x2 = 2((2 * 3 + -1x * 3) + -2x * (2 + -1x))
6 + -1x + -1x2 = 2((6 + -3x) + -2x * (2 + -1x))
6 + -1x + -1x2 = 2(6 + -3x + (2 * -2x + -1x * -2x))
6 + -1x + -1x2 = 2(6 + -3x + (-4x + 2x2))

Combine like terms: -3x + -4x = -7x
6 + -1x + -1x2 = 2(6 + -7x + 2x2)
6 + -1x + -1x2 = (6 * 2 + -7x * 2 + 2x2 * 2)
6 + -1x + -1x2 = (12 + -14x + 4x2)

Solving
6 + -1x + -1x2 = 12 + -14x + 4x2

Solving for variable 'x'.

Reorder the terms:
6 + -12 + -1x + 14x + -1x2 + -4x2 = 12 + -14x + 4x2 + -12 + 14x + -4x2

Combine like terms: 6 + -12 = -6
-6 + -1x + 14x + -1x2 + -4x2 = 12 + -14x + 4x2 + -12 + 14x + -4x2

Combine like terms: -1x + 14x = 13x
-6 + 13x + -1x2 + -4x2 = 12 + -14x + 4x2 + -12 + 14x + -4x2

Combine like terms: -1x2 + -4x2 = -5x2
-6 + 13x + -5x2 = 12 + -14x + 4x2 + -12 + 14x + -4x2

Reorder the terms:
-6 + 13x + -5x2 = 12 + -12 + -14x + 14x + 4x2 + -4x2

Combine like terms: 12 + -12 = 0
-6 + 13x + -5x2 = 0 + -14x + 14x + 4x2 + -4x2
-6 + 13x + -5x2 = -14x + 14x + 4x2 + -4x2

Combine like terms: -14x + 14x = 0
-6 + 13x + -5x2 = 0 + 4x2 + -4x2
-6 + 13x + -5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + 13x + -5x2 = 0

Factor a trinomial.
(-2 + x)(3 + -5x) = 0


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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {2, 0.6}

See similar equations:

| 5y+7=9+7y | | 18x=1500 | | 250x=1500 | | 583-3h=1667 | | 7x-9-x+3=0 | | 6x-7+9=3x | | 3+2(x-1)=-1 | | -3.8x=10.83 | | 10-4x=6x-5 | | 7x+x+100=1700 | | -2x+16=3x-44 | | -2x-26=62 | | 9v+9-3r=6v+2-8 | | 9x-5.62=-3.73 | | 36a^2+9ab-10b^2=0 | | 113+3h=1250 | | y=1.5x^2+6x+10 | | 12-9x=2x-21 | | 9a-4=2(3a+4) | | 30-x^2=0 | | 9y+1=45-2y | | 12-9x=2x-12 | | 18x^3-39x^2-24x=0 | | 8x+5+7+2x= | | 4(5-x)+6x=8 | | 5-3(2-x)=29 | | 6(x-3)-2(7-x)=8 | | 4x^2=225 | | 2y+8+5y+1= | | 2x+5=2x-10 | | 5(k+3)=2(4k+7)-5 | | r-7r-30=0 |

Equations solver categories