3x^4-48y^2=

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Solution for 3x^4-48y^2= equation:


Simplifying
3x4 + -48y2 = 0

Solving
3x4 + -48y2 = 0

Solving for variable 'x'.

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

Add '48y2' to each side of the equation.
3x4 + -48y2 + 48y2 = 0 + 48y2

Combine like terms: -48y2 + 48y2 = 0
3x4 + 0 = 0 + 48y2
3x4 = 0 + 48y2
Remove the zero:
3x4 = 48y2

Divide each side by '3'.
x4 = 16y2

Simplifying
x4 = 16y2

Combine like terms: 16y2 + -16y2 = 0
x4 + -16y2 = 0

Factor a difference between two squares.
(x2 + 4y)(x2 + -4y) = 0

Subproblem 1

Set the factor '(x2 + 4y)' equal to zero and attempt to solve: Simplifying x2 + 4y = 0 Solving x2 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x2 + 0 = 0 + -4y x2 = 0 + -4y Remove the zero: x2 = -4y Simplifying x2 = -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x2 + -4y)' equal to zero and attempt to solve: Simplifying x2 + -4y = 0 Solving x2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x2 + 0 = 0 + 4y x2 = 0 + 4y Remove the zero: x2 = 4y Simplifying x2 = 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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