2c(-4c+20)=-2

Simple and best practice solution for 2c(-4c+20)=-2 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 2c(-4c+20)=-2 equation:


Simplifying
2c(-4c + 20) = -2

Reorder the terms:
2c(20 + -4c) = -2
(20 * 2c + -4c * 2c) = -2
(40c + -8c2) = -2

Solving
40c + -8c2 = -2

Solving for variable 'c'.

Reorder the terms:
2 + 40c + -8c2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 40c + -8c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 20c + -4c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 20c + -4c2)' equal to zero and attempt to solve:

Simplifying
1 + 20c + -4c2 = 0

Solving
1 + 20c + -4c2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-0.25 + -5c + c2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -5c + 0.25 + c2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -5c + c2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -5c + c2 = 0 + 0.25
-5c + c2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-5c + c2 = 0.25

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 = 0.25 + 6.25

Reorder the terms:
6.25 + -5c + c2 = 0.25 + 6.25

Combine like terms: 0.25 + 6.25 = 6.5
6.25 + -5c + c2 = 6.5

Factor a perfect square on the left side:
(c + -2.5)(c + -2.5) = 6.5

Calculate the square root of the right side: 2.549509757

Break this problem into two subproblems by setting 
(c + -2.5) equal to 2.549509757 and -2.549509757.


Subproblem 1
c + -2.5 = 2.549509757

Simplifying
c + -2.5 = 2.549509757

Reorder the terms:
-2.5 + c = 2.549509757

Solving
-2.5 + c = 2.549509757

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 = 2.549509757 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + c = 2.549509757 + 2.5
c = 2.549509757 + 2.5

Combine like terms: 2.549509757 + 2.5 = 5.049509757
c = 5.049509757

Simplifying
c = 5.049509757


Subproblem 2
c + -2.5 = -2.549509757

Simplifying
c + -2.5 = -2.549509757

Reorder the terms:
-2.5 + c = -2.549509757

Solving
-2.5 + c = -2.549509757

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 = -2.549509757 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + c = -2.549509757 + 2.5
c = -2.549509757 + 2.5

Combine like terms: -2.549509757 + 2.5 = -0.049509757
c = -0.049509757

Simplifying
c = -0.049509757


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {5.049509757, -0.049509757}
Solution
c = {5.049509757, -0.049509757}

See similar equations:

| 2(1-a)=6 | | 2x^2=2xy | | (-1/9y^6)(1/2y^2) | | 2xy/2 | | y-4=5/2(0-1) | | 4m+5w=96 | | 6x^2-39x+63=0 | | 6.25/3 | | x+(3-2x)+5=0 | | y=.00221x^2-1.06x+52 | | -3(t-3)+6t=5t-1 | | 3x+27=90 | | -47-(23)=x/5 | | y-(-2)=5/2(x-1) | | 5x/6=7x-3 | | x+0.2x=80000 | | -47-(-23)=×/5 | | -165x-87=28x-128 | | 5(x-8)(x-1)=0 | | 3a-a^2=-15 | | 2x+98=124 | | Y=3(-2*3)+7-4 | | (1/3)3.14(25)(10) | | 5y-6+y+50=8y+50-4y | | 3x-7=13+x | | ×^2=36/49 | | x^2+34x-35=0 | | 1/5x=65 | | 3y+23=4x | | 3x^2+6x+7x+14=0 | | 0.1q-2r=1.7 | | ln(n+1)=1 |

Equations solver categories