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

Simple and best practice solution for (x-4)(2x+4)=0 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-4)(2x+4)=0 equation: 


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

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

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

Multiply (-4 + x) * (4 + 2x)
(-4(4 + 2x) + x(4 + 2x)) = 0
((4 * -4 + 2x * -4) + x(4 + 2x)) = 0
((-16 + -8x) + x(4 + 2x)) = 0
(-16 + -8x + (4 * x + 2x * x)) = 0
(-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((-2 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

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 '(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
Solution
x = {-2, 4}

See similar equations:

| 4-T=20 | | 4x-16+5x=29 | | 2x+9x+9=0 | | 7r=288-2r | | -2x=x+5 | | 3z^2+6z-9=0 | | -2x=x+20 | | 3(1-x)-5(x+2)=1-4x | | 16r-18=126 | | -12-10x=2 | | 4(2x+3)=1 | | 3x-4y=7forx | | 4x^2-14x-8=9 | | 8x-7+3x=7x-1 | | 3m-3= | | 30x^2-10x=0 | | 2b+b+3b+10+3b-19=360 | | z^2-7x+12=0 | | -2x/-3=4 | | (2x^2)/(x^2+x-12)-(x-1)/(x-4)=(x+6)/(x-3) | | 3a+15+ab+5b=0 | | q+14=(q+7) | | x+32=y-7 | | (4x+15)=(2x+65) | | 36x^9-16x^5-12x^3=0 | | x/(x-1)+1/(x+1)=(x^2+1)/(x^2-1) | | 24x^4+27x^2=0 | | (228*3.5)/((1-x)*228)+(x*3.5)=14 | | -5x+10=-74+7x | | (228*3.5)/((1-x)*228)+(x*3.5) | | -6+4x=x-21 | | X-14=5y |

Equations solver categories