v^2-19v+14=0

Simple and best practice solution for v^2-19v+14=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^2-19v+14=0 equation: 


Simplifying
v2 + -19v + 14 = 0

Reorder the terms:
14 + -19v + v2 = 0

Solving
14 + -19v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -19v + -14 + v2 = 0 + -14

Reorder the terms:
14 + -14 + -19v + v2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -19v + v2 = 0 + -14
-19v + v2 = 0 + -14

Combine like terms: 0 + -14 = -14
-19v + v2 = -14

The v term is -19v.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19v + 90.25 + v2 = -14 + 90.25

Reorder the terms:
90.25 + -19v + v2 = -14 + 90.25

Combine like terms: -14 + 90.25 = 76.25
90.25 + -19v + v2 = 76.25

Factor a perfect square on the left side:
(v + -9.5)(v + -9.5) = 76.25

Calculate the square root of the right side: 8.732124598

Break this problem into two subproblems by setting 
(v + -9.5) equal to 8.732124598 and -8.732124598.


Subproblem 1
v + -9.5 = 8.732124598

Simplifying
v + -9.5 = 8.732124598

Reorder the terms:
-9.5 + v = 8.732124598

Solving
-9.5 + v = 8.732124598

Solving for variable 'v'.

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

Add '9.5' to each side of the equation.
-9.5 + 9.5 + v = 8.732124598 + 9.5

Combine like terms: -9.5 + 9.5 = 0.0
0.0 + v = 8.732124598 + 9.5
v = 8.732124598 + 9.5

Combine like terms: 8.732124598 + 9.5 = 18.232124598
v = 18.232124598

Simplifying
v = 18.232124598


Subproblem 2
v + -9.5 = -8.732124598

Simplifying
v + -9.5 = -8.732124598

Reorder the terms:
-9.5 + v = -8.732124598

Solving
-9.5 + v = -8.732124598

Solving for variable 'v'.

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

Add '9.5' to each side of the equation.
-9.5 + 9.5 + v = -8.732124598 + 9.5

Combine like terms: -9.5 + 9.5 = 0.0
0.0 + v = -8.732124598 + 9.5
v = -8.732124598 + 9.5

Combine like terms: -8.732124598 + 9.5 = 0.767875402
v = 0.767875402

Simplifying
v = 0.767875402


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {18.232124598, 0.767875402}

See similar equations:

| 6(8-5i)-(8i)= | | 4(u+4)=-3u-47 | | 23=-7x-2x+5 | | 3(x-21)=4+2x | | 10(x+3)-(-8x-4)=x-5+3 | | -12=16x+7 | | 5n+3=3-1-2n | | 4=12+m | | (2x-6)=26 | | y=ax+cv | | 5(10v+12)=9v+6(10-6v) | | -16a^2+63a+4=0 | | 2+3x+6x=-25 | | 3-2x=x+10 | | 10(x*3)-(-8x-4)=x-5+3 | | 6p-2(p+6)=8 | | 2+3x+6x=48 | | 2(z+2)-2(2z+5)=18 | | -8=4(x-3) | | 122-(6x+7)=6(x+4)+x | | 8x+41=-9(x+3) | | 7x+1-6x=-4 | | -3=5/6x+4 | | 4x^2+3x-612=0 | | 4n+2(2n-1)=14 | | 7b-0.5=2b+4.5 | | 5n+2=42 | | 4-2x+6x=48 | | 9(w-7)=3+8w | | 4y=-12x-36 | | 3-p+11p=7(6+7p)+8(-8-8p) | | 23=4x+4x+7 |

Equations solver categories