c^2-2=8c

Simple and best practice solution for c^2-2=8c 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 c^2-2=8c equation: 


Simplifying
c2 + -2 = 8c

Reorder the terms:
-2 + c2 = 8c

Solving
-2 + c2 = 8c

Solving for variable 'c'.

Reorder the terms:
-2 + -8c + c2 = 8c + -8c

Combine like terms: 8c + -8c = 0
-2 + -8c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -8c + 2 + c2 = 0 + 2

Reorder the terms:
-2 + 2 + -8c + c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -8c + c2 = 0 + 2
-8c + c2 = 0 + 2

Combine like terms: 0 + 2 = 2
-8c + c2 = 2

The c term is -8c.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8c + 16 + c2 = 2 + 16

Reorder the terms:
16 + -8c + c2 = 2 + 16

Combine like terms: 2 + 16 = 18
16 + -8c + c2 = 18

Factor a perfect square on the left side:
(c + -4)(c + -4) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(c + -4) equal to 4.242640687 and -4.242640687.


Subproblem 1
c + -4 = 4.242640687

Simplifying
c + -4 = 4.242640687

Reorder the terms:
-4 + c = 4.242640687

Solving
-4 + c = 4.242640687

Solving for variable 'c'.

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

Add '4' to each side of the equation.
-4 + 4 + c = 4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + c = 4.242640687 + 4
c = 4.242640687 + 4

Combine like terms: 4.242640687 + 4 = 8.242640687
c = 8.242640687

Simplifying
c = 8.242640687


Subproblem 2
c + -4 = -4.242640687

Simplifying
c + -4 = -4.242640687

Reorder the terms:
-4 + c = -4.242640687

Solving
-4 + c = -4.242640687

Solving for variable 'c'.

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

Add '4' to each side of the equation.
-4 + 4 + c = -4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + c = -4.242640687 + 4
c = -4.242640687 + 4

Combine like terms: -4.242640687 + 4 = -0.242640687
c = -0.242640687

Simplifying
c = -0.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {8.242640687, -0.242640687}

See similar equations:

| V=1/3(18)14 | | y=3+7.5x | | (x+6)(x+3)=0 | | 15=y/2-30 | | y=15x+2+3y-8 | | -2/3(q+1/6)=-11/12 | | 3(x-3)=4(x+3(-3)) | | o=50+10p | | 5=m/4-5 | | -16x^2+80t+224=0 | | y=Ix-7I | | 3=x/2-7 | | X+5(2)+x+5(2)+x=95 | | 9x=-282 | | 5=-3-8 | | 16x-24x=1/4 | | 2.9x^2-9.2x+9=0 | | s(t)=(4t+1)2(8t) | | 0.1x-2y=-1.7 | | -2(x-29)=1/2(4-8x) | | R(x)=2500+0.5x^2 | | 80/2*3.1416*2 | | 20-3x=18-2y | | x/9-y/6=1/9 | | 2(x+2)=8-x | | 44=8(2w-2)-10w-30 | | 45=1/2(12h) | | 3x^2-12xy=0 | | 48=1/212*n | | 55=2k+2(2k+20)-5 | | -3x+9y=1(x) | | .3(x+6)=.8x |

Equations solver categories