4x^2+y^2-4x=0

Simple and best practice solution for 4x^2+y^2-4x=0 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 4x^2+y^2-4x=0 equation: 


Simplifying
4x2 + y2 + -4x = 0

Reorder the terms:
-4x + 4x2 + y2 = 0

Solving
-4x + 4x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(2x + -1y) = 0


Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve:

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y

Subproblem 2
Set the factor '(2x + -1y)' equal to zero and attempt to solve:

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {0.5y, 0.5y}

See similar equations:

| (9x)x=80 | | 9(d+20)=-9 | | 5+8=52x | | 23r-27=16r-13 | | 8-n=23+4n | | 2010.6048=2*3.14*8.7+8.7+2*3.14*8.7*h | | 7xy+3x(5x-2y)= | | 64-6y=2 | | 2k^2-98=0 | | 8c+1=9 | | 2x-1p=52 | | 2x+13=3-10x | | 4(-2z+9)=-28 | | 3h^2=5h+12 | | x^2+105+y^2=6y-22x | | 4y=-1x-8 | | 48=4/3w | | 0.2t+2=0.8t-7 | | 0=2x-6y+6 | | 8r=23 | | 10-(3y-9)=9-4y | | 1/2sinx=1 | | f(6)=4x-3 | | 2(f-4)=-8 | | 2x+y=162 | | 45(t)=-16t^2+25t+45 | | (3x+2)x=120 | | x+x+25000=550000000 | | 36+u=12 | | 2(3x-1+2x+1)=55 | | -3/5x15 | | -3h=3t+3 |

Equations solver categories