2(r^2+16r+16)=0

Simple and best practice solution for 2(r^2+16r+16)=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 2(r^2+16r+16)=0 equation: 


Simplifying
2(r2 + 16r + 16) = 0

Reorder the terms:
2(16 + 16r + r2) = 0
(16 * 2 + 16r * 2 + r2 * 2) = 0
(32 + 32r + 2r2) = 0

Solving
32 + 32r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 16r + r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(16 + 16r + r2)' equal to zero and attempt to solve:

Simplifying
16 + 16r + r2 = 0

Solving
16 + 16r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 16r + -16 + r2 = 0 + -16

Reorder the terms:
16 + -16 + 16r + r2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 16r + r2 = 0 + -16
16r + r2 = 0 + -16

Combine like terms: 0 + -16 = -16
16r + r2 = -16

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

Add '64' to each side of the equation.
16r + 64 + r2 = -16 + 64

Reorder the terms:
64 + 16r + r2 = -16 + 64

Combine like terms: -16 + 64 = 48
64 + 16r + r2 = 48

Factor a perfect square on the left side:
(r + 8)(r + 8) = 48

Calculate the square root of the right side: 6.92820323

Break this problem into two subproblems by setting 
(r + 8) equal to 6.92820323 and -6.92820323.


Subproblem 1
r + 8 = 6.92820323

Simplifying
r + 8 = 6.92820323

Reorder the terms:
8 + r = 6.92820323

Solving
8 + r = 6.92820323

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + r = 6.92820323 + -8

Combine like terms: 8 + -8 = 0
0 + r = 6.92820323 + -8
r = 6.92820323 + -8

Combine like terms: 6.92820323 + -8 = -1.07179677
r = -1.07179677

Simplifying
r = -1.07179677


Subproblem 2
r + 8 = -6.92820323

Simplifying
r + 8 = -6.92820323

Reorder the terms:
8 + r = -6.92820323

Solving
8 + r = -6.92820323

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + r = -6.92820323 + -8

Combine like terms: 8 + -8 = 0
0 + r = -6.92820323 + -8
r = -6.92820323 + -8

Combine like terms: -6.92820323 + -8 = -14.92820323
r = -14.92820323

Simplifying
r = -14.92820323


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {-1.07179677, -14.92820323}
Solution
r = {-1.07179677, -14.92820323}

See similar equations:

| d/dx(f(3x22))=5x4 | | 124=-2-6(-4x-1) | | 7(r-9)=147 | | x=4042.25-3766 | | u^2+6u-72=0 | | 180=(3x-18)+2x+x | | x-4+6=x | | a=r(c/×) | | -2(2x+5)-4= | | 34=l-55 | | 5cos(x)-5=-6 | | 8m-8=144 | | h=-16t^2+240(t)+300 | | r+7=(-16) | | 5(17/9) | | Y+c=10 | | 6x=12x+24 | | d/dx(f(3x^2))=5x^4 | | 6t+85= | | f-27=(-63) | | 4r+25n-3r+9-2n-2= | | 12-5x=7x+3 | | 3a-4+2a-7= | | 3.1m-5-3.1m-3= | | h+15=(-5) | | 612x^2-16x+5=0 | | 32-4y=15+5y | | (2x-12/9)-(2x-6/6)=2 | | 13d-12d= | | 85+6t=t | | 10N+(m)(9.8)=50 | | 4p/3-2/3=20/3 |

Equations solver categories