20c^2-41c+20=c

Simple and best practice solution for 20c^2-41c+20=c 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 20c^2-41c+20=c equation: 


Simplifying
20c2 + -41c + 20 = c

Reorder the terms:
20 + -41c + 20c2 = c

Solving
20 + -41c + 20c2 = c

Solving for variable 'c'.

Reorder the terms:
20 + -41c + -1c + 20c2 = c + -1c

Combine like terms: -41c + -1c = -42c
20 + -42c + 20c2 = c + -1c

Combine like terms: c + -1c = 0
20 + -42c + 20c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -21c + 10c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -21c + 10c2)' equal to zero and attempt to solve:

Simplifying
10 + -21c + 10c2 = 0

Solving
10 + -21c + 10c2 = 0

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

Divide each side by '10'.
1 + -2.1c + c2 = 0.0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -2.1c + -1 + c2 = 0.0 + -1

Reorder the terms:
1 + -1 + -2.1c + c2 = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + -2.1c + c2 = 0.0 + -1
-2.1c + c2 = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
-2.1c + c2 = -1

The c term is -2.1c.  Take half its coefficient (-1.05).
Square it (1.1025) and add it to both sides.

Add '1.1025' to each side of the equation.
-2.1c + 1.1025 + c2 = -1 + 1.1025

Reorder the terms:
1.1025 + -2.1c + c2 = -1 + 1.1025

Combine like terms: -1 + 1.1025 = 0.1025
1.1025 + -2.1c + c2 = 0.1025

Factor a perfect square on the left side:
(c + -1.05)(c + -1.05) = 0.1025

Calculate the square root of the right side: 0.320156212

Break this problem into two subproblems by setting 
(c + -1.05) equal to 0.320156212 and -0.320156212.


Subproblem 1
c + -1.05 = 0.320156212

Simplifying
c + -1.05 = 0.320156212

Reorder the terms:
-1.05 + c = 0.320156212

Solving
-1.05 + c = 0.320156212

Solving for variable 'c'.

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

Add '1.05' to each side of the equation.
-1.05 + 1.05 + c = 0.320156212 + 1.05

Combine like terms: -1.05 + 1.05 = 0.00
0.00 + c = 0.320156212 + 1.05
c = 0.320156212 + 1.05

Combine like terms: 0.320156212 + 1.05 = 1.370156212
c = 1.370156212

Simplifying
c = 1.370156212


Subproblem 2
c + -1.05 = -0.320156212

Simplifying
c + -1.05 = -0.320156212

Reorder the terms:
-1.05 + c = -0.320156212

Solving
-1.05 + c = -0.320156212

Solving for variable 'c'.

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

Add '1.05' to each side of the equation.
-1.05 + 1.05 + c = -0.320156212 + 1.05

Combine like terms: -1.05 + 1.05 = 0.00
0.00 + c = -0.320156212 + 1.05
c = -0.320156212 + 1.05

Combine like terms: -0.320156212 + 1.05 = 0.729843788
c = 0.729843788

Simplifying
c = 0.729843788


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {1.370156212, 0.729843788}
Solution
c = {1.370156212, 0.729843788}

See similar equations:

| 5y-3-1=9 | | -16r^2/20r^3 | | 3a^2-11=21+a^2 | | 3x^3-15x^2+12x= | | -7-4x+6x=-31 | | 20+5n=25 | | 4x-15=2x+1 | | 3-1-5y=9 | | 4(3x-1/4)=13x | | f(x)=5x-5 | | 3(t+8.2)=-1.3t+37.5 | | x+6.5x=180 | | -17=-14+y | | -6n+4n=-8 | | 7(1+5n)+6(4n)=13 | | 30+2.5n=32.5 | | 4r+2=5r-12 | | 40=0.4y | | 5/4x-9=0 | | 5(-3n+2)=2-15n | | -6a-2a=-36 | | 74=5x+6x+8 | | 6.5x=180 | | 4n+n-5=5(n-1) | | (3+2i)x+2iy=3-i | | 8x^3+18x^2-10x=0 | | -5=-19-x^7 | | x/1=2x+1/100 | | k^2-12k=-27 | | 0.5y+27+y+12=180 | | 3-3(x+4)=2x-5x | | -2/3=y/6 |

Equations solver categories