5c+1=2c(c+11)

Simple and best practice solution for 5c+1=2c(c+11) 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 5c+1=2c(c+11) equation:


Simplifying
5c + 1 = 2c(c + 11)

Reorder the terms:
1 + 5c = 2c(c + 11)

Reorder the terms:
1 + 5c = 2c(11 + c)
1 + 5c = (11 * 2c + c * 2c)
1 + 5c = (22c + 2c2)

Solving
1 + 5c = 22c + 2c2

Solving for variable 'c'.

Combine like terms: 5c + -22c = -17c
1 + -17c + -2c2 = 22c + 2c2 + -22c + -2c2

Reorder the terms:
1 + -17c + -2c2 = 22c + -22c + 2c2 + -2c2

Combine like terms: 22c + -22c = 0
1 + -17c + -2c2 = 0 + 2c2 + -2c2
1 + -17c + -2c2 = 2c2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
1 + -17c + -2c2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-0.5 + 8.5c + c2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 8.5c + 0.5 + c2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 8.5c + c2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 8.5c + c2 = 0 + 0.5
8.5c + c2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
8.5c + c2 = 0.5

The c term is 8.5c.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5c + 18.0625 + c2 = 0.5 + 18.0625

Reorder the terms:
18.0625 + 8.5c + c2 = 0.5 + 18.0625

Combine like terms: 0.5 + 18.0625 = 18.5625
18.0625 + 8.5c + c2 = 18.5625

Factor a perfect square on the left side:
(c + 4.25)(c + 4.25) = 18.5625

Calculate the square root of the right side: 4.308421985

Break this problem into two subproblems by setting 
(c + 4.25) equal to 4.308421985 and -4.308421985.

Subproblem 1

c + 4.25 = 4.308421985 Simplifying c + 4.25 = 4.308421985 Reorder the terms: 4.25 + c = 4.308421985 Solving 4.25 + c = 4.308421985 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + c = 4.308421985 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + c = 4.308421985 + -4.25 c = 4.308421985 + -4.25 Combine like terms: 4.308421985 + -4.25 = 0.058421985 c = 0.058421985 Simplifying c = 0.058421985

Subproblem 2

c + 4.25 = -4.308421985 Simplifying c + 4.25 = -4.308421985 Reorder the terms: 4.25 + c = -4.308421985 Solving 4.25 + c = -4.308421985 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + c = -4.308421985 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + c = -4.308421985 + -4.25 c = -4.308421985 + -4.25 Combine like terms: -4.308421985 + -4.25 = -8.558421985 c = -8.558421985 Simplifying c = -8.558421985

Solution

The solution to the problem is based on the solutions from the subproblems. c = {0.058421985, -8.558421985}

See similar equations:

| 74.00+x=82.40 | | 74.00+x=8240 | | 0.9x-1.3=3.1 | | x-421.62=82.01 | | (x-4)+(5x+12)=(9x-19) | | x^9+9x^8= | | 5w+12-2w+7=3(w-4)+2w-7 | | 0.2(100+a)=50 | | 0.2(100+75)= | | 3xy(x+y)=0 | | 6m+3n+3m-n= | | a=b+12 | | -2/3(2/1x)-4=3x | | 122-3=57+62 | | (4(7x-1))-(3(8x-2))= | | 2(3x+2)=(2x+16) | | 4x-9y+18=0 | | 5+4(4x-4)=8-4(2x+1) | | 3y*12=0 | | -3(x-4)=4x+5 | | x+96=235 | | -8+8=56 | | 0.2(7+a)=25 | | s*5-30=65 | | 2(x+9)=7x+8-5x+10 | | 6x=y(x+4) | | P=r+s-4 | | 3x^2+27x= | | x-408.08=79.57 | | n=6m | | 9x+3=4x+20 | | 2/p=3/p+1 |

Equations solver categories