v^2-7v-12=0

Simple and best practice solution for v^2-7v-12=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 v^2-7v-12=0 equation: 


Simplifying
v2 + -7v + -12 = 0

Reorder the terms:
-12 + -7v + v2 = 0

Solving
-12 + -7v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -7v + 12 + v2 = 0 + 12

Reorder the terms:
-12 + 12 + -7v + v2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7v + v2 = 0 + 12
-7v + v2 = 0 + 12

Combine like terms: 0 + 12 = 12
-7v + v2 = 12

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 = 12 + 12.25

Reorder the terms:
12.25 + -7v + v2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + -7v + v2 = 24.25

Factor a perfect square on the left side:
(v + -3.5)(v + -3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(v + -3.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
v + -3.5 = 4.924428901

Simplifying
v + -3.5 = 4.924428901

Reorder the terms:
-3.5 + v = 4.924428901

Solving
-3.5 + v = 4.924428901

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 = 4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + v = 4.924428901 + 3.5
v = 4.924428901 + 3.5

Combine like terms: 4.924428901 + 3.5 = 8.424428901
v = 8.424428901

Simplifying
v = 8.424428901


Subproblem 2
v + -3.5 = -4.924428901

Simplifying
v + -3.5 = -4.924428901

Reorder the terms:
-3.5 + v = -4.924428901

Solving
-3.5 + v = -4.924428901

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 = -4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + v = -4.924428901 + 3.5
v = -4.924428901 + 3.5

Combine like terms: -4.924428901 + 3.5 = -1.424428901
v = -1.424428901

Simplifying
v = -1.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {8.424428901, -1.424428901}

See similar equations:

| 2(n-6)+n=-36 | | 7x+4+7x+4-4+(7x+4)2=180 | | (1=7i)/(-5-i) | | 1/(-5-i) | | 3=-2a+7 | | 7/3z-1/4=5 | | x+1.5-0.5x=45 | | -2(y+3)+8=4y-2 | | 4(2y-8)-3y=-17 | | 2x-1=100 | | 85.5=9(m+3.2) | | 3(x-2)+1=2+4x | | 3/3v | | 4(x-3)=-8(x+1) | | s/13=4 | | [-1,2],y=1/2x-3 | | 45+x=x | | -19=6w+4w | | -19-1m=8(1+1m) | | -2(3a+5)=-46 | | -5(3u-4)+6u=3(u+8) | | 9/7=z/2 | | 10-x+7=20 | | 3/14(6/13) | | 7-8=13 | | 9x^2-8x+1=-x^2-2 | | 7(y+4.5)= | | -2.3v=6/5 | | x/2-2/5=3/2 | | 7-3x=-29 | | 6+49x=21+42 | | x/2-2/5=2/3 |

Equations solver categories