24=(v+7)6v

Simple and best practice solution for 24=(v+7)6v 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 24=(v+7)6v equation: 


Simplifying
24 = (v + 7) * 6v

Reorder the terms:
24 = (7 + v) * 6v

Reorder the terms for easier multiplication:
24 = 6v(7 + v)
24 = (7 * 6v + v * 6v)
24 = (42v + 6v2)

Solving
24 = 42v + 6v2

Solving for variable 'v'.

Reorder the terms:
24 + -42v + -6v2 = 42v + -42v + 6v2 + -6v2

Combine like terms: 42v + -42v = 0
24 + -42v + -6v2 = 0 + 6v2 + -6v2
24 + -42v + -6v2 = 6v2 + -6v2

Combine like terms: 6v2 + -6v2 = 0
24 + -42v + -6v2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -7v + -1v2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + -7v + -1v2)' equal to zero and attempt to solve:

Simplifying
4 + -7v + -1v2 = 0

Solving
4 + -7v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-4 + 7v + v2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 7v + 4 + v2 = 0 + 4

Reorder the terms:
-4 + 4 + 7v + v2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7v + v2 = 0 + 4
7v + v2 = 0 + 4

Combine like terms: 0 + 4 = 4
7v + v2 = 4

The v term is 7v.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7v + 12.25 + v2 = 4 + 12.25

Reorder the terms:
12.25 + 7v + v2 = 4 + 12.25

Combine like terms: 4 + 12.25 = 16.25
12.25 + 7v + v2 = 16.25

Factor a perfect square on the left side:
(v + 3.5)(v + 3.5) = 16.25

Calculate the square root of the right side: 4.031128874

Break this problem into two subproblems by setting 
(v + 3.5) equal to 4.031128874 and -4.031128874.


Subproblem 1
v + 3.5 = 4.031128874

Simplifying
v + 3.5 = 4.031128874

Reorder the terms:
3.5 + v = 4.031128874

Solving
3.5 + v = 4.031128874

Solving for variable 'v'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + v = 4.031128874 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + v = 4.031128874 + -3.5
v = 4.031128874 + -3.5

Combine like terms: 4.031128874 + -3.5 = 0.531128874
v = 0.531128874

Simplifying
v = 0.531128874


Subproblem 2
v + 3.5 = -4.031128874

Simplifying
v + 3.5 = -4.031128874

Reorder the terms:
3.5 + v = -4.031128874

Solving
3.5 + v = -4.031128874

Solving for variable 'v'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + v = -4.031128874 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + v = -4.031128874 + -3.5
v = -4.031128874 + -3.5

Combine like terms: -4.031128874 + -3.5 = -7.531128874
v = -7.531128874

Simplifying
v = -7.531128874


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {0.531128874, -7.531128874}
Solution
v = {0.531128874, -7.531128874}

See similar equations:

| A+21=2a | | -9c^2d^3*5c^8d^9= | | 2x^2+21=13x | | 2x^2+21=13x | | X+6(x+4)= | | Logx=-2.88 | | h(t)=-4.9t^2+19.6t+58.8 | | -2+(11+12)=4(1-6x) | | 2=4/5x | | V/8-6=-10 | | 8*4=(k*7)-(k*3) | | 6x1/6-2x4/9 | | b+1=2b-1 | | 9/4=x/7 | | 3z-2=5z+7 | | 5(-4-6x)-(8x-12)=68 | | 43=4u-13 | | 50-5k-5(k-8)=90 | | 7x-2(4-x)=5+6x | | 56+8y=16 | | -(4x-5y)= | | (6a-4b)-(2a-10b)= | | 16+7=x-16 | | 3n-18+22=1 | | 2/3x-3=1/2x-2 | | (2/7x-2)(1/3x-1/30) | | -15-9k=6k+6 | | 3(x+9)=2(4x+26) | | -2m+14=12 | | (2a-5)(4a^2+10a+25)= | | 4.2d=10.5 | | 8+6x+r-30+4x=180 |

Equations solver categories