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

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


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

Reorder the terms:
2x = x(2 + x) + -2(x + 4)
2x = (2 * x + x * x) + -2(x + 4)
2x = (2x + x2) + -2(x + 4)

Reorder the terms:
2x = 2x + x2 + -2(4 + x)
2x = 2x + x2 + (4 * -2 + x * -2)
2x = 2x + x2 + (-8 + -2x)

Reorder the terms:
2x = -8 + 2x + -2x + x2

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

Solving
2x = -8 + x2

Solving for variable 'x'.

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

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

Combine like terms: -8 + 8 = 0
8 + 2x + -1x2 = 0 + x2 + -1x2
8 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 2x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(2 + x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
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
Solution
x = {4, -2}

See similar equations:

| 5(5)+12=3(5)+18 | | y+3(3)=15 | | 20=4+3x | | -2(4+-7)=3(s-10) | | 8n+11=74-n | | 36m=4 | | 4(p+z)+2(1-p)-4p=0 | | 2x-9=51 | | 2y^2+3y+34=0 | | x-y+2(3)=-1 | | 5x+4=x+44 | | x-(0,5x-0,25x)=10,5 | | (x-1)2-5=x | | 2y-2=3y-9 | | x-y+2z=-1 | | x^3y^2+4x^2y^3+9xy^2= | | 0.7-1.5+7.3=15.5 | | 4(a-3)=12 | | 3m^3-4m^2-4m=0 | | -32h^3+48h^2y-18hy^2= | | 1.5x-0.1y=18 | | 6x-40=-4x | | 5(2x-3)+14=29 | | 12t=180 | | -280=-10(r+10) | | 16b^2-40bf+25f^2= | | 3x+1=-29 | | 36-8z= | | 4x-0.8=12.8 | | 1.5x+2.5-1.2x-0.5=3+0.3x | | 40-x=21 | | 5(x-2)+2(x+4)=6 |

Equations solver categories