10(c+5)c=-2

Simple and best practice solution for 10(c+5)c=-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 10(c+5)c=-2 equation: 


Simplifying
10(c + 5) * c = -2

Reorder the terms:
10(5 + c) * c = -2

Reorder the terms for easier multiplication:
10c(5 + c) = -2
(5 * 10c + c * 10c) = -2
(50c + 10c2) = -2

Solving
50c + 10c2 = -2

Solving for variable 'c'.

Reorder the terms:
2 + 50c + 10c2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 50c + 10c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 25c + 5c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 25c + 5c2)' equal to zero and attempt to solve:

Simplifying
1 + 25c + 5c2 = 0

Solving
1 + 25c + 5c2 = 0

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

Divide each side by '5'.
0.2 + 5c + c2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 5c + -0.2 + c2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 5c + c2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 5c + c2 = 0 + -0.2
5c + c2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
5c + c2 = -0.2

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 = -0.2 + 6.25

Reorder the terms:
6.25 + 5c + c2 = -0.2 + 6.25

Combine like terms: -0.2 + 6.25 = 6.05
6.25 + 5c + c2 = 6.05

Factor a perfect square on the left side:
(c + 2.5)(c + 2.5) = 6.05

Calculate the square root of the right side: 2.459674775

Break this problem into two subproblems by setting 
(c + 2.5) equal to 2.459674775 and -2.459674775.


Subproblem 1
c + 2.5 = 2.459674775

Simplifying
c + 2.5 = 2.459674775

Reorder the terms:
2.5 + c = 2.459674775

Solving
2.5 + c = 2.459674775

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 = 2.459674775 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + c = 2.459674775 + -2.5
c = 2.459674775 + -2.5

Combine like terms: 2.459674775 + -2.5 = -0.040325225
c = -0.040325225

Simplifying
c = -0.040325225


Subproblem 2
c + 2.5 = -2.459674775

Simplifying
c + 2.5 = -2.459674775

Reorder the terms:
2.5 + c = -2.459674775

Solving
2.5 + c = -2.459674775

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 = -2.459674775 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + c = -2.459674775 + -2.5
c = -2.459674775 + -2.5

Combine like terms: -2.459674775 + -2.5 = -4.959674775
c = -4.959674775

Simplifying
c = -4.959674775


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {-0.040325225, -4.959674775}
Solution
c = {-0.040325225, -4.959674775}

See similar equations:

| -45=g-12 | | 3.4x+1=19 | | 10z^2+27z+18=0 | | 528=44b | | 6y+2x=70 | | 0.6+0.9-0.4x=-0.3 | | 10x^2+27+18=0 | | 0=-3n+12+-9n | | 10x^3+36x^2=16x | | X/333=7/3 | | 16-y= | | q=-2/3 | | 2x-2y=-26 | | X333=7/3 | | 0=-16t^2+670t | | 10-2/3x=20 | | 243(1/5) | | 5x-3/(3x-3) | | 3y+2x=-17 | | 5ln(x+1)=3+3ln(x+1) | | 14z^2+17z-6=0 | | F(x)=20-6x | | m+9-(4m-6)=0 | | i=15sin(100pit+0.7) | | 18y^2+31y+6=0 | | 33/b=15/45 | | 2j+1.7j+2.9=16.7 | | 9x^2y-3xy+11y^2=24 | | 180=52+5x+30+180-3x^2-4 | | (A/x)2 | | (1/x)2 | | -d/5=-4 |

Equations solver categories