9x^2-12x+4y^4=0

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Solution for 9x^2-12x+4y^4=0 equation: 


Simplifying
9x2 + -12x + 4y4 = 0

Reorder the terms:
-12x + 9x2 + 4y4 = 0

Solving
-12x + 9x2 + 4y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y2)(3x + -2y2) = 0


Subproblem 1
Set the factor '(3x + -2y2)' equal to zero and attempt to solve:

Simplifying
3x + -2y2 = 0

Solving
3x + -2y2 = 0

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

Add '2y2' to each side of the equation.
3x + -2y2 + 2y2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
3x + 0 = 0 + 2y2
3x = 0 + 2y2
Remove the zero:
3x = 2y2

Divide each side by '3'.
x = 0.6666666667y2

Simplifying
x = 0.6666666667y2

Subproblem 2
Set the factor '(3x + -2y2)' equal to zero and attempt to solve:

Simplifying
3x + -2y2 = 0

Solving
3x + -2y2 = 0

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

Add '2y2' to each side of the equation.
3x + -2y2 + 2y2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
3x + 0 = 0 + 2y2
3x = 0 + 2y2
Remove the zero:
3x = 2y2

Divide each side by '3'.
x = 0.6666666667y2

Simplifying
x = 0.6666666667y2
Solution
x = {0.6666666667y2, 0.6666666667y2}

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