v^2+16v-65=-2

Simple and best practice solution for v^2+16v-65=-2 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+16v-65=-2 equation:


Simplifying
v2 + 16v + -65 = -2

Reorder the terms:
-65 + 16v + v2 = -2

Solving
-65 + 16v + v2 = -2

Solving for variable 'v'.

Reorder the terms:
-65 + 2 + 16v + v2 = -2 + 2

Combine like terms: -65 + 2 = -63
-63 + 16v + v2 = -2 + 2

Combine like terms: -2 + 2 = 0
-63 + 16v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '63' to each side of the equation.
-63 + 16v + 63 + v2 = 0 + 63

Reorder the terms:
-63 + 63 + 16v + v2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + 16v + v2 = 0 + 63
16v + v2 = 0 + 63

Combine like terms: 0 + 63 = 63
16v + v2 = 63

The v term is 16v.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16v + 64 + v2 = 63 + 64

Reorder the terms:
64 + 16v + v2 = 63 + 64

Combine like terms: 63 + 64 = 127
64 + 16v + v2 = 127

Factor a perfect square on the left side:
(v + 8)(v + 8) = 127

Calculate the square root of the right side: 11.26942767

Break this problem into two subproblems by setting 
(v + 8) equal to 11.26942767 and -11.26942767.

Subproblem 1

v + 8 = 11.26942767 Simplifying v + 8 = 11.26942767 Reorder the terms: 8 + v = 11.26942767 Solving 8 + v = 11.26942767 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 11.26942767 + -8 Combine like terms: 8 + -8 = 0 0 + v = 11.26942767 + -8 v = 11.26942767 + -8 Combine like terms: 11.26942767 + -8 = 3.26942767 v = 3.26942767 Simplifying v = 3.26942767

Subproblem 2

v + 8 = -11.26942767 Simplifying v + 8 = -11.26942767 Reorder the terms: 8 + v = -11.26942767 Solving 8 + v = -11.26942767 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = -11.26942767 + -8 Combine like terms: 8 + -8 = 0 0 + v = -11.26942767 + -8 v = -11.26942767 + -8 Combine like terms: -11.26942767 + -8 = -19.26942767 v = -19.26942767 Simplifying v = -19.26942767

Solution

The solution to the problem is based on the solutions from the subproblems. v = {3.26942767, -19.26942767}

See similar equations:

| 5(x+1)-7=2x+3(-2+x) | | 3x^2=x^2+88 | | -5(1-5v)-8=-6-2(-2v-7) | | x^4+10x^2+1=0 | | X-9=66 | | 15x+15=2(4x+6)+7x+3 | | 4y+18=83 | | 2m-8(m-6)=-4(m-7) | | 0.4x-3.4=0.2 | | 0.4-3.4=0.2 | | 3p-5p=14 | | x^2-54x+12=0 | | -n-2=-8 | | x^2-2sqrt(3)x-5=0 | | (a+7)(a+4)= | | 22.23=2x^2+x | | 35x^2-86x+48= | | r-5=9.7 | | solve-0.10(30)+0.20x=0.05(x-18) | | ((6y^2+2y-2)-(-y^2-10y+2))-(-4y^2+3y+3)=0 | | 6x+7y=-20 | | -15-5= | | 3.4x-29=2.9x+2 | | 3x-(3x+7)=-9 | | -5-(9x+4)=8(-7x-7) | | U=183+53(6) | | 8x-16.8=x | | solve-0.10(30)-10.20x=0.05(x-18) | | -6x-20=-8-7x-5 | | 784=(40-2x)(20-2x) | | U=5(9n+35)+8(n+1) | | 4t^2+1=145 |

Equations solver categories