v^2+3v-2=0

Simple and best practice solution for v^2+3v-2=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+3v-2=0 equation: 


Simplifying
v2 + 3v + -2 = 0

Reorder the terms:
-2 + 3v + v2 = 0

Solving
-2 + 3v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 3v + 2 + v2 = 0 + 2

Reorder the terms:
-2 + 2 + 3v + v2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3v + v2 = 0 + 2
3v + v2 = 0 + 2

Combine like terms: 0 + 2 = 2
3v + v2 = 2

The v term is 3v.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3v + 2.25 + v2 = 2 + 2.25

Reorder the terms:
2.25 + 3v + v2 = 2 + 2.25

Combine like terms: 2 + 2.25 = 4.25
2.25 + 3v + v2 = 4.25

Factor a perfect square on the left side:
(v + 1.5)(v + 1.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(v + 1.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
v + 1.5 = 2.061552813

Simplifying
v + 1.5 = 2.061552813

Reorder the terms:
1.5 + v = 2.061552813

Solving
1.5 + v = 2.061552813

Solving for variable 'v'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + v = 2.061552813 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + v = 2.061552813 + -1.5
v = 2.061552813 + -1.5

Combine like terms: 2.061552813 + -1.5 = 0.561552813
v = 0.561552813

Simplifying
v = 0.561552813


Subproblem 2
v + 1.5 = -2.061552813

Simplifying
v + 1.5 = -2.061552813

Reorder the terms:
1.5 + v = -2.061552813

Solving
1.5 + v = -2.061552813

Solving for variable 'v'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + v = -2.061552813 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + v = -2.061552813 + -1.5
v = -2.061552813 + -1.5

Combine like terms: -2.061552813 + -1.5 = -3.561552813
v = -3.561552813

Simplifying
v = -3.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {0.561552813, -3.561552813}

See similar equations:

| y=10.25+1.25x | | 0.04x+0.06(x+1300)=178 | | 7*((1-2z)/3)+5z=-2 | | x-7+8x=9x-3-4x | | 0.04x+0.06(1300-x)=178 | | -70=7a | | x+9=28 | | 35000+250x=0 | | (x+2)=x | | 18-8q=-16 | | 8x=45-x | | 7*(1-2z/3)+5z=-2 | | K/6-31=-11 | | 8/4+3x2 | | 11y-4=5y+8 | | f(x)=x^2-3x | | p-17=-30 | | x*x+9x=100 | | R/4=-12 | | 5(x-2)=2(x-8) | | -1x+2y=44 | | 90=4-(2x-6) | | 6a+3b= | | 16g=80 | | 8(12-x)=5(x+1) | | 11R-11J=8.8 | | 14p+-4p(2p+3)= | | -6(3r+10)+4(4r+10)= | | Y=2ln(x)+3ln(x+4) | | 7+z=10 | | 21/5+11/2 | | 18=d-31 |

Equations solver categories