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

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


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

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

Multiply (-2 + 4v) * (8 + v)
(-2(8 + v) + 4v * (8 + v)) = 0
((8 * -2 + v * -2) + 4v * (8 + v)) = 0
((-16 + -2v) + 4v * (8 + v)) = 0
(-16 + -2v + (8 * 4v + v * 4v)) = 0
(-16 + -2v + (32v + 4v2)) = 0

Combine like terms: -2v + 32v = 30v
(-16 + 30v + 4v2) = 0

Solving
-16 + 30v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 15v + 2v2) = 0

Factor a trinomial.
2((-8 + -1v)(1 + -2v)) = 0

Ignore the factor 2.

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

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

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

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

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

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

Simplifying
v = -8

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

Simplifying
1 + -2v = 0

Solving
1 + -2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2v = 0 + -1
-2v = 0 + -1

Combine like terms: 0 + -1 = -1
-2v = -1

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {-8, 0.5}

See similar equations:

| 4*x+7=3*x | | 2x+23=-105 | | (x^5+y^3)+(x^5-y^3)= | | -5-5r+17r=73 | | 6x-59=13 | | 6(y+1)=2(3y+3) | | 3x^2-12x+108=0 | | x-101=10 | | 9(a+7)= | | 11f+14g=13 | | 0.2x^2+0.7x^2-0.4x^2=0 | | 7x-25=3 | | 3(x+7)+2x=5(3x-4)+11 | | 5x+13=48 | | 5x+1=61 | | 6x-6=-18 | | x^2-2x-0.9375=0 | | 7x-6=50 | | x^4-5x^3+2=0 | | 3t-2+6=2 | | 22-18+c=30 | | 4x-2=54 | | 85+x^2+1=2x^2+6x-5 | | 6x+1=31 | | 5x+15=53 | | 2d+4=8 | | -3+6w=-12 | | 4x=31 | | -5(t-2)+7t=6t-4 | | 5(r+3)=6+9+5r | | 16x^2-32x-15=0 | | 8x-23=65 |

Equations solver categories