(x-8)(4x+20)=0

Simple and best practice solution for (x-8)(4x+20)=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-8)(4x+20)=0 equation: 


Simplifying
(x + -8)(4x + 20) = 0

Reorder the terms:
(-8 + x)(4x + 20) = 0

Reorder the terms:
(-8 + x)(20 + 4x) = 0

Multiply (-8 + x) * (20 + 4x)
(-8(20 + 4x) + x(20 + 4x)) = 0
((20 * -8 + 4x * -8) + x(20 + 4x)) = 0
((-160 + -32x) + x(20 + 4x)) = 0
(-160 + -32x + (20 * x + 4x * x)) = 0
(-160 + -32x + (20x + 4x2)) = 0

Combine like terms: -32x + 20x = -12x
(-160 + -12x + 4x2) = 0

Solving
-160 + -12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-40 + -3x + x2) = 0

Factor a trinomial.
4((-5 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-5, 8}

See similar equations:

| f(x)=x^2+2x-1 | | -2[f+(-13)]=8 | | 0.6x-8=2(3x-10) | | 10n+n=264 | | 90+x+135=180 | | (5x-4)2+52=0 | | 3x+33+10x-30= | | Z=2x+3y-17 | | an=2n-5 | | 6y^5/3y^2 | | 9d+2d-5d+4-4d=0 | | 2x+x-5+3x-1=180 | | .7x-3x^2=-1 | | 5x+3y=37 | | 7/8x=3 | | 17-4x=-6x+9 | | 10-t+2/3t+1-1/4t=1/4+1/8+10 | | 48x+72y=14 | | 13j-16j-2=-20 | | 5202/36x | | 3(2x-7)=5(7-x)+12 | | 3/x+7/x=2 | | 51/36=102/x | | 2(5/3)-6y=4 | | 8888888888-go*o*gle=0 | | .5k-3=2-.75x | | 9-f=8 | | 0o=0 | | 2x+8-5x=2 | | 12x-768/x^2 | | 8(6x+4)=48x-5 | | 2x^4y^4*4x^2= |

Equations solver categories