c^2+c=0.24

Simple and best practice solution for c^2+c=0.24 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+c=0.24 equation: 


Simplifying
c2 + c = 0.24

Reorder the terms:
c + c2 = 0.24

Solving
c + c2 = 0.24

Solving for variable 'c'.

Reorder the terms:
-0.24 + c + c2 = 0.24 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
-0.24 + c + c2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '0.24' to each side of the equation.
-0.24 + c + 0.24 + c2 = 0.00 + 0.24

Reorder the terms:
-0.24 + 0.24 + c + c2 = 0.00 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + c + c2 = 0.00 + 0.24
c + c2 = 0.00 + 0.24

Combine like terms: 0.00 + 0.24 = 0.24
c + c2 = 0.24

The c term is c.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
c + 0.25 + c2 = 0.24 + 0.25

Reorder the terms:
0.25 + c + c2 = 0.24 + 0.25

Combine like terms: 0.24 + 0.25 = 0.49
0.25 + c + c2 = 0.49

Factor a perfect square on the left side:
(c + 0.5)(c + 0.5) = 0.49

Calculate the square root of the right side: 0.7

Break this problem into two subproblems by setting 
(c + 0.5) equal to 0.7 and -0.7.


Subproblem 1
c + 0.5 = 0.7

Simplifying
c + 0.5 = 0.7

Reorder the terms:
0.5 + c = 0.7

Solving
0.5 + c = 0.7

Solving for variable 'c'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + c = 0.7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + c = 0.7 + -0.5
c = 0.7 + -0.5

Combine like terms: 0.7 + -0.5 = 0.2
c = 0.2

Simplifying
c = 0.2


Subproblem 2
c + 0.5 = -0.7

Simplifying
c + 0.5 = -0.7

Reorder the terms:
0.5 + c = -0.7

Solving
0.5 + c = -0.7

Solving for variable 'c'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + c = -0.7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + c = -0.7 + -0.5
c = -0.7 + -0.5

Combine like terms: -0.7 + -0.5 = -1.2
c = -1.2

Simplifying
c = -1.2


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {0.2, -1.2}

See similar equations:

| 2240+t= | | 61+(4X)= | | 4x^3+6x+4=0 | | -4=7x+5(-2+4) | | 7y+12=-2 | | (x+3)+y=(x+3)+4y | | 59x-108=6x+36 | | x-38.35=24.35 | | 5-7x=2x+50 | | 3(5-2)=21 | | 8(x-7)+13(x+14)= | | 4y-3x=x-4 | | 2c+2=-8 | | 8a+2a(1.5)=650 | | 2x+(x-4)+x=180 | | x^4-10*x^3+24*x^2+8*x+4=0 | | x+(y+3)=x+3+(4y) | | k^4-10*k^3+24*k^2+8*x+4=0 | | 30+.75x=25+.90x | | 8+7*4= | | 12(x+42)+-2=-26 | | k^4-10*k^3+24*k^2+8*k+4=0 | | 3x-14=5x+2 | | x^4-10*x^3+24*x^2+8*k+4=0 | | 5x+8=9(x-4) | | 66=7x+6(-x+12) | | p+27=34 | | w-14=5(n-14) | | 9x-14=4x+5 | | G(x)=x^2+11x | | 25+9=20 | | 4x+30=-5(x+2) |

Equations solver categories