SOLUTION: please help me solve this equation: {{{4x^2=x}}}

Question 223419: please help me solve this equation:
Found 3 solutions by jim_thompson5910, ankor@dixie-net.com, Earlsdon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract x from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

Subtract x from both sides

Factor out x

Two solutions
x = 0
and
4x = +1
x =
:
Check this solution in original equation

:

:

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Divide both sides by x.
Simplify.
Divide both sides by 4.
Simplify.

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