7v^2-8v-3=0

Simple and best practice solution for 7v^2-8v-3=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 7v^2-8v-3=0 equation:


Simplifying
7v2 + -8v + -3 = 0

Reorder the terms:
-3 + -8v + 7v2 = 0

Solving
-3 + -8v + 7v2 = 0

Solving for variable 'v'.

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

Divide each side by '7'.
-0.4285714286 + -1.142857143v + v2 = 0

Move the constant term to the right:

Add '0.4285714286' to each side of the equation.
-0.4285714286 + -1.142857143v + 0.4285714286 + v2 = 0 + 0.4285714286

Reorder the terms:
-0.4285714286 + 0.4285714286 + -1.142857143v + v2 = 0 + 0.4285714286

Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000
0.0000000000 + -1.142857143v + v2 = 0 + 0.4285714286
-1.142857143v + v2 = 0 + 0.4285714286

Combine like terms: 0 + 0.4285714286 = 0.4285714286
-1.142857143v + v2 = 0.4285714286

The v term is -1.142857143v.  Take half its coefficient (-0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
-1.142857143v + 0.3265306123 + v2 = 0.4285714286 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143v + v2 = 0.4285714286 + 0.3265306123

Combine like terms: 0.4285714286 + 0.3265306123 = 0.7551020409
0.3265306123 + -1.142857143v + v2 = 0.7551020409

Factor a perfect square on the left side:
(v + -0.5714285715)(v + -0.5714285715) = 0.7551020409

Calculate the square root of the right side: 0.868966076

Break this problem into two subproblems by setting 
(v + -0.5714285715) equal to 0.868966076 and -0.868966076.

Subproblem 1

v + -0.5714285715 = 0.868966076 Simplifying v + -0.5714285715 = 0.868966076 Reorder the terms: -0.5714285715 + v = 0.868966076 Solving -0.5714285715 + v = 0.868966076 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '0.5714285715' to each side of the equation. -0.5714285715 + 0.5714285715 + v = 0.868966076 + 0.5714285715 Combine like terms: -0.5714285715 + 0.5714285715 = 0.0000000000 0.0000000000 + v = 0.868966076 + 0.5714285715 v = 0.868966076 + 0.5714285715 Combine like terms: 0.868966076 + 0.5714285715 = 1.4403946475 v = 1.4403946475 Simplifying v = 1.4403946475

Subproblem 2

v + -0.5714285715 = -0.868966076 Simplifying v + -0.5714285715 = -0.868966076 Reorder the terms: -0.5714285715 + v = -0.868966076 Solving -0.5714285715 + v = -0.868966076 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '0.5714285715' to each side of the equation. -0.5714285715 + 0.5714285715 + v = -0.868966076 + 0.5714285715 Combine like terms: -0.5714285715 + 0.5714285715 = 0.0000000000 0.0000000000 + v = -0.868966076 + 0.5714285715 v = -0.868966076 + 0.5714285715 Combine like terms: -0.868966076 + 0.5714285715 = -0.2975375045 v = -0.2975375045 Simplifying v = -0.2975375045

Solution

The solution to the problem is based on the solutions from the subproblems. v = {1.4403946475, -0.2975375045}

See similar equations:

| 2.5x+8=24 | | v=3.14×3^2×8/3 | | 2n^2-6n+4=0 | | 7x+-19=-2 | | 0=4x^2+31x+21 | | 1.4x+3.4=7.4 | | 940=13a+9c | | 5h^2+h-7=0 | | Cos45=4/x | | 2y+3.6=4.8 | | 49=7w/5 | | 3n*4=1 | | 6m^2-32m-24=0 | | 7w/5=49 | | -8x+5(-3x-5)=13 | | 6k^2-4K-8=0 | | 6m(m-6)=4(6-m) | | m^2=56m-m^3 | | 12x^2-20x-8= | | e^5=6x | | 5n+10n-40=0 | | X^2+3X=4X+20 | | Log(2v)=log(5v-9) | | 4*2*3=109 | | ln(7x^3/y^2 | | -27n+14n+33-m=-23 | | 3x^2+26x=-40 | | 5(2x-1)=3(x-4) | | 13x-14=15x-6 | | 3p-2=6(4p+2) | | 22=10+3*2x | | 40+2x-30+x+20=180 |

Equations solver categories