(x+3)(x-2)=(2x+8)(x-2)

Simple and best practice solution for (x+3)(x-2)=(2x+8)(x-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)=(2x+8)(x-2) equation: 


Simplifying
(x + 3)(x + -2) = (2x + 8)(x + -2)

Reorder the terms:
(3 + x)(x + -2) = (2x + 8)(x + -2)

Reorder the terms:
(3 + x)(-2 + x) = (2x + 8)(x + -2)

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x)) = (2x + 8)(x + -2)
((-2 * 3 + x * 3) + x(-2 + x)) = (2x + 8)(x + -2)
((-6 + 3x) + x(-2 + x)) = (2x + 8)(x + -2)
(-6 + 3x + (-2 * x + x * x)) = (2x + 8)(x + -2)
(-6 + 3x + (-2x + x2)) = (2x + 8)(x + -2)

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2) = (2x + 8)(x + -2)

Reorder the terms:
-6 + 1x + x2 = (8 + 2x)(x + -2)

Reorder the terms:
-6 + 1x + x2 = (8 + 2x)(-2 + x)

Multiply (8 + 2x) * (-2 + x)
-6 + 1x + x2 = (8(-2 + x) + 2x * (-2 + x))
-6 + 1x + x2 = ((-2 * 8 + x * 8) + 2x * (-2 + x))
-6 + 1x + x2 = ((-16 + 8x) + 2x * (-2 + x))
-6 + 1x + x2 = (-16 + 8x + (-2 * 2x + x * 2x))
-6 + 1x + x2 = (-16 + 8x + (-4x + 2x2))

Combine like terms: 8x + -4x = 4x
-6 + 1x + x2 = (-16 + 4x + 2x2)

Solving
-6 + 1x + x2 = -16 + 4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-6 + 16 + 1x + -4x + x2 + -2x2 = -16 + 4x + 2x2 + 16 + -4x + -2x2

Combine like terms: -6 + 16 = 10
10 + 1x + -4x + x2 + -2x2 = -16 + 4x + 2x2 + 16 + -4x + -2x2

Combine like terms: 1x + -4x = -3x
10 + -3x + x2 + -2x2 = -16 + 4x + 2x2 + 16 + -4x + -2x2

Combine like terms: x2 + -2x2 = -1x2
10 + -3x + -1x2 = -16 + 4x + 2x2 + 16 + -4x + -2x2

Reorder the terms:
10 + -3x + -1x2 = -16 + 16 + 4x + -4x + 2x2 + -2x2

Combine like terms: -16 + 16 = 0
10 + -3x + -1x2 = 0 + 4x + -4x + 2x2 + -2x2
10 + -3x + -1x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
10 + -3x + -1x2 = 0 + 2x2 + -2x2
10 + -3x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + -3x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(5 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

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

See similar equations:

| 7x^2=15 | | 4c^2-36c+81= | | (-41)+(-40)= | | (x-10)(2x-3)+20=5x^2 | | 12b(4-2)-8b(2+3)= | | 3.7+1.3m=-0.2 | | 3x^2-23x-50=0 | | r^4=5r^3+24r^2 | | 3(4t-1)=47 | | 256b^2-100= | | 3-2w=42 | | 4-2(m-3)=-6m+8 | | 64r^2-121= | | -3(-5x+9)=-6x+3 | | 16-(-13)-9-(-5)= | | 3p+5p=7p+3 | | -3(-5+9)=-6x+3 | | 2t^2+-14t+3=3 | | X^2+3x+5= | | 3(2x-3)=6 | | 1.1x-4.8=0.4x-1.58 | | 15a^2-17ab-4b^2= | | c(5)=0.22+0.10(5) | | 5-x=-9 | | 27y^3+1=0 | | 2x+28=14 | | x=q(2+n) | | L=2(25)+11(12+2) | | -2(3x+8)=-7x(x-6)-16 | | 6p-5=4p+9 | | 6x+3=4x+w | | m=9(2+n) |

Equations solver categories