(x-2)(x+4)=2x

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


Simplifying
(x + -2)(x + 4) = 2x

Reorder the terms:
(-2 + x)(x + 4) = 2x

Reorder the terms:
(-2 + x)(4 + x) = 2x

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

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

Add '-2x' to each side of the equation.
-8 + 2x + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 0 + x2 = 2x + -2x
-8 + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + x2 = 0

Solving
-8 + x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 0 + 8
x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

See similar equations:

| j+4=7 | | -10b-9=-3+4b | | 2x^2-15=60-x^2 | | 10x+6/2 | | 2/3x=-10 | | 10x=2x+13 | | 3x/1 | | 7/4-4/3 | | 3/8x=9 | | 3(p+2)=3(p-2) | | y=1/7x^2 | | 18x-3y=-9 | | 3x+4y=8-y | | 24.6=15.7+h | | 10c+6/2 | | 3n+17=-4 | | 4p+6q-3(4p-7q+2r)= | | -7h-5=4-4n | | 65-5x=22x+23 | | 13/4-11/3 | | 5.3x-4=4.3x+9 | | 3(x+3)=2(x+4) | | (3w-8)-4(2w+3)= | | 2p+2q-6(6p-7q)= | | 63x^2+9=0 | | 2(-1)+y=1 | | 4x+2x=148 | | -4x-2=-10 | | x=9/5x+32 | | -4+7+4=3y | | 3b^3-8b^2+12b-30=0 | | 3x^3-27=0 |

Equations solver categories