2(x^2+16x+64)=36

Simple and best practice solution for 2(x^2+16x+64)=36 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(x^2+16x+64)=36 equation: 


Simplifying
2(x2 + 16x + 64) = 36

Reorder the terms:
2(64 + 16x + x2) = 36
(64 * 2 + 16x * 2 + x2 * 2) = 36
(128 + 32x + 2x2) = 36

Solving
128 + 32x + 2x2 = 36

Solving for variable 'x'.

Reorder the terms:
128 + -36 + 32x + 2x2 = 36 + -36

Combine like terms: 128 + -36 = 92
92 + 32x + 2x2 = 36 + -36

Combine like terms: 36 + -36 = 0
92 + 32x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(46 + 16x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(46 + 16x + x2)' equal to zero and attempt to solve:

Simplifying
46 + 16x + x2 = 0

Solving
46 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-46' to each side of the equation.
46 + 16x + -46 + x2 = 0 + -46

Reorder the terms:
46 + -46 + 16x + x2 = 0 + -46

Combine like terms: 46 + -46 = 0
0 + 16x + x2 = 0 + -46
16x + x2 = 0 + -46

Combine like terms: 0 + -46 = -46
16x + x2 = -46

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

Add '64' to each side of the equation.
16x + 64 + x2 = -46 + 64

Reorder the terms:
64 + 16x + x2 = -46 + 64

Combine like terms: -46 + 64 = 18
64 + 16x + x2 = 18

Factor a perfect square on the left side:
(x + 8)(x + 8) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + 8) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + 8 = 4.242640687

Simplifying
x + 8 = 4.242640687

Reorder the terms:
8 + x = 4.242640687

Solving
8 + x = 4.242640687

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = 4.242640687 + -8

Combine like terms: 8 + -8 = 0
0 + x = 4.242640687 + -8
x = 4.242640687 + -8

Combine like terms: 4.242640687 + -8 = -3.757359313
x = -3.757359313

Simplifying
x = -3.757359313


Subproblem 2
x + 8 = -4.242640687

Simplifying
x + 8 = -4.242640687

Reorder the terms:
8 + x = -4.242640687

Solving
8 + x = -4.242640687

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = -4.242640687 + -8

Combine like terms: 8 + -8 = 0
0 + x = -4.242640687 + -8
x = -4.242640687 + -8

Combine like terms: -4.242640687 + -8 = -12.242640687
x = -12.242640687

Simplifying
x = -12.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.757359313, -12.242640687}
Solution
x = {-3.757359313, -12.242640687}

See similar equations:

| -18.62-14.08= | | a=pb+cp-d | | 2(k+3)=4(-k-2) | | -1/2x-4=18 | | (x-c)/2=d | | -6=-4x-6x+4 | | -3=3(v+6)-6v | | 7c+12=-4r+78 | | -7d+9+8=-17 | | 3(g-7)=2(10+2) | | 13m=-65 | | .50h+.3(h-6)=.8333h+2 | | -5u+3(u-6)=-16 | | 7x-3+5+4=6x+25 | | -2y+x=1 | | 1/2(2x-8)=6x | | 2c-5=1c+4 | | 2z^3-2z^2-24z= | | -7m-8=15 | | 2cx-5a=3a | | 45-720+15x=60 | | -2y+7(y+7)=29 | | 2(y-3)+9=y | | 9-r=-2 | | x-6=-2.5 | | 12=2t | | 5(7)+2y=1 | | -2y+7(y+71)=29 | | X/2=x+10 | | 6/(x-7)=4x | | -10(9-2x)-x=2x-5 | | (7-4i)/(2+5i) |

Equations solver categories