C^2-5C+4=20

Simple and best practice solution for C^2-5C+4=20 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^2-5C+4=20 equation: 


Simplifying
C2 + -5C + 4 = 20

Reorder the terms:
4 + -5C + C2 = 20

Solving
4 + -5C + C2 = 20

Solving for variable 'C'.

Reorder the terms:
4 + -20 + -5C + C2 = 20 + -20

Combine like terms: 4 + -20 = -16
-16 + -5C + C2 = 20 + -20

Combine like terms: 20 + -20 = 0
-16 + -5C + C2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -5C + 16 + C2 = 0 + 16

Reorder the terms:
-16 + 16 + -5C + C2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -5C + C2 = 0 + 16
-5C + C2 = 0 + 16

Combine like terms: 0 + 16 = 16
-5C + C2 = 16

The C term is -5C.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5C + 6.25 + C2 = 16 + 6.25

Reorder the terms:
6.25 + -5C + C2 = 16 + 6.25

Combine like terms: 16 + 6.25 = 22.25
6.25 + -5C + C2 = 22.25

Factor a perfect square on the left side:
(C + -2.5)(C + -2.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(C + -2.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
C + -2.5 = 4.716990566

Simplifying
C + -2.5 = 4.716990566

Reorder the terms:
-2.5 + C = 4.716990566

Solving
-2.5 + C = 4.716990566

Solving for variable 'C'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + C = 4.716990566 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + C = 4.716990566 + 2.5
C = 4.716990566 + 2.5

Combine like terms: 4.716990566 + 2.5 = 7.216990566
C = 7.216990566

Simplifying
C = 7.216990566


Subproblem 2
C + -2.5 = -4.716990566

Simplifying
C + -2.5 = -4.716990566

Reorder the terms:
-2.5 + C = -4.716990566

Solving
-2.5 + C = -4.716990566

Solving for variable 'C'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + C = -4.716990566 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + C = -4.716990566 + 2.5
C = -4.716990566 + 2.5

Combine like terms: -4.716990566 + 2.5 = -2.216990566
C = -2.216990566

Simplifying
C = -2.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
C = {7.216990566, -2.216990566}

See similar equations:

| 6x+7=-5x+7 | | (x)(x+6)= | | 2x-26=88 | | 2(4x-6)=3x | | 4(x-5)=2(x-3)+4 | | (5x+2-3x+3)=(8x+1-x+7) | | (49x4)-1/2 | | 2x+4x+2x=32 | | (5x-2+3x+3)=(8x+1-x+7) | | 4/r-5/s=3/t | | (13x+17)+(8x+16)=180 | | -4y+1=5y+2 | | 1/3x-1/3x | | 4.5x+1=3.5x | | (y+5)=(x-7) | | -1/3y=3(2/3) | | 1/2b=2(1/2) | | -3y+3x=12 | | 2/5=p/q | | 1/5f=3(1/5) | | 1/3•15= | | -4(2t-5)+6t=7t-8 | | 3(x-5)+7=12+4x | | 4x-y+3z=25 | | 7/8x12/21 | | 1/5f=31/5 | | (6y/3y)(3x/6y) | | 8x+1.2=297.2 | | 1/3•15 | | 0=-16t^2+25t+150 | | (5z2/r3)(3r3/z) | | 9x-8=3x-3 |

Equations solver categories