(x-8)(2x+4)=0

Simple and best practice solution for (x-8)(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-8)(2x+4)=0 equation: 


Simplifying
(x + -8)(2x + 4) = 0

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

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

Multiply (-8 + x) * (4 + 2x)
(-8(4 + 2x) + x(4 + 2x)) = 0
((4 * -8 + 2x * -8) + x(4 + 2x)) = 0
((-32 + -16x) + x(4 + 2x)) = 0
(-32 + -16x + (4 * x + 2x * x)) = 0
(-32 + -16x + (4x + 2x2)) = 0

Combine like terms: -16x + 4x = -12x
(-32 + -12x + 2x2) = 0

Solving
-32 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -6x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(8 + -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 '(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 = {-2, 8}

See similar equations:

| 8.25w=-49.5 | | 9x+x=58 | | 0=18x-9(x*x) | | 2(w+2)+2w=27 | | 2x+-9=4 | | 0=18x-9x*x | | z^2-14=72 | | -3p+8=5-8p-15 | | 7(8+2k)=182 | | m-8=28 | | (x)159+(y)7=1000 | | 4y-14=2y+6 | | N+47=75 | | 3y=(2y-1)+4 | | -9.5x-0.05=10.5+1.05 | | 1000=1.50x-(1780+1.10x) | | 0=2(x*x)+32x | | 5n+16=1 | | 45-11h=4h | | ln(x)3.4= | | 5n-4=37 | | 22+3b=-2 | | 4.5+x=8.05 | | 72=.25(.2(.25x+x)) | | 400+t=400 | | D=h+19.5 | | 4n-5=37 | | 4v-2=2v+8 | | 20/2+t=400 | | B-4=13.25 | | 3(3c-1)-6=5c+7 | | 10+(3+2x)=0 |

Equations solver categories