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

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


Simplifying
2x(x + 4) + -4(x + 4) = 0

Reorder the terms:
2x(4 + x) + -4(x + 4) = 0
(4 * 2x + x * 2x) + -4(x + 4) = 0
(8x + 2x2) + -4(x + 4) = 0

Reorder the terms:
8x + 2x2 + -4(4 + x) = 0
8x + 2x2 + (4 * -4 + x * -4) = 0
8x + 2x2 + (-16 + -4x) = 0

Reorder the terms:
-16 + 8x + -4x + 2x2 = 0

Combine like terms: 8x + -4x = 4x
-16 + 4x + 2x2 = 0

Solving
-16 + 4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 2x + x2) = 0

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

Ignore the factor 2.

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 + -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
Solution
x = {-4, 2}

See similar equations:

| (7x)-12+(12x)=(-x)+8 | | X^2=-25.5 | | y=-5/8(2.2857)-5 | | x^2=25.5 | | (7x)-12+(12)=(-x)+8 | | (6/x^2)-(43/x)=15 | | 14-x=-27 | | 7000=(3.5)(.5)(X) | | ((3x+1)/(x-2))+(4/x)=(-8/(x^2-2x)) | | (2/(x^2+2x-8))+(5/(x^2+x-6))=(1/(x^2+7x+12)) | | ((2x+4)/2)-(3x/(x-4))=x | | .07xX=114 | | x/4+x/3=x-100 | | 10y+20=4y+26 | | 10x+8=5x+(-3) | | x/2+1=x/5+1/4 | | 3x^2+3=510 | | 16-4(5-x)=9 | | n^2=-5n+6 | | (3x-12)(x-7)=y | | 5x^2-29x-2=0 | | y+3=-1/4x+(1/4)*5 | | y+7=-1/2x+(1/2)*2 | | 6y=10-10x | | 60+5y-13=17y-9-4y | | y+7=-1/2+(1/2)*2 | | -(w+3)=-3w+10 | | x+17+3x=-23-3x-30 | | 7m^2-61m+40=0 | | 3n-1=245 | | 2(1-x)+1=3(x-3)-x | | x^3-5x^2-8x-48=0 |

Equations solver categories