c^2-2+4c=

Simple and best practice solution for c^2-2+4c= 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^2-2+4c= equation: 


Simplifying
c2 + -2 + 4c = 0

Reorder the terms:
-2 + 4c + c2 = 0

Solving
-2 + 4c + c2 = 0

Solving for variable 'c'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 4c + 2 + c2 = 0 + 2

Reorder the terms:
-2 + 2 + 4c + c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4c + c2 = 0 + 2
4c + c2 = 0 + 2

Combine like terms: 0 + 2 = 2
4c + c2 = 2

The c term is 4c.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4c + 4 + c2 = 2 + 4

Reorder the terms:
4 + 4c + c2 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + 4c + c2 = 6

Factor a perfect square on the left side:
(c + 2)(c + 2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(c + 2) equal to 2.449489743 and -2.449489743.


Subproblem 1
c + 2 = 2.449489743

Simplifying
c + 2 = 2.449489743

Reorder the terms:
2 + c = 2.449489743

Solving
2 + c = 2.449489743

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + -2 + c = 2.449489743 + -2

Combine like terms: 2 + -2 = 0
0 + c = 2.449489743 + -2
c = 2.449489743 + -2

Combine like terms: 2.449489743 + -2 = 0.449489743
c = 0.449489743

Simplifying
c = 0.449489743


Subproblem 2
c + 2 = -2.449489743

Simplifying
c + 2 = -2.449489743

Reorder the terms:
2 + c = -2.449489743

Solving
2 + c = -2.449489743

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + -2 + c = -2.449489743 + -2

Combine like terms: 2 + -2 = 0
0 + c = -2.449489743 + -2
c = -2.449489743 + -2

Combine like terms: -2.449489743 + -2 = -4.449489743
c = -4.449489743

Simplifying
c = -4.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {0.449489743, -4.449489743}

See similar equations:

| (8x^2-4x+1)+(3x^2+x+5)= | | 6x-7-2x=21 | | -4n(7n-5)+8=168 | | 11x+(x+1)=-(3x+4) | | -5x+2=11 | | 5-4y+y-1= | | 2h+7h-9=54 | | (6x-11w^2)-(4+7w^2)=0 | | 3x+1=73 | | -3G+6+2g=9 | | 2x^2-15=-x | | 4x-3x^2= | | 8+16=? | | 180=90+4x-7+2x+1 | | (w+2)(w-3)= | | 6x+15=99 | | e=3e-1 | | -40x+(-12x)= | | 2(6-y)=4(2y+2) | | -5(-6n+3)-3=102 | | -66=5x+4x-3 | | 0=X^2-128x-23040 | | x+(x+21)=180 | | -4x+3=35 | | 21e-7=98 | | -15=4x-7-3x-4 | | (g^4+4g)+9g^4+7g= | | 2x+1+4x-9= | | 3x+(x+15)+x=180 | | 4-(y+2)=3y+(y-1) | | -6=n-21 | | 180=3x-1+9x-7+19 |

Equations solver categories