49x^4-28x^2y^3+4y^6=0

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Solution for 49x^4-28x^2y^3+4y^6=0 equation:


Simplifying
49x4 + -28x2y3 + 4y6 = 0

Reorder the terms:
-28x2y3 + 49x4 + 4y6 = 0

Solving
-28x2y3 + 49x4 + 4y6 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x2 + -2y3)(7x2 + -2y3) = 0

Subproblem 1

Set the factor '(7x2 + -2y3)' equal to zero and attempt to solve: Simplifying 7x2 + -2y3 = 0 Solving 7x2 + -2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y3' to each side of the equation. 7x2 + -2y3 + 2y3 = 0 + 2y3 Combine like terms: -2y3 + 2y3 = 0 7x2 + 0 = 0 + 2y3 7x2 = 0 + 2y3 Remove the zero: 7x2 = 2y3 Divide each side by '7'. x2 = 0.2857142857y3 Simplifying x2 = 0.2857142857y3 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 '(7x2 + -2y3)' equal to zero and attempt to solve: Simplifying 7x2 + -2y3 = 0 Solving 7x2 + -2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y3' to each side of the equation. 7x2 + -2y3 + 2y3 = 0 + 2y3 Combine like terms: -2y3 + 2y3 = 0 7x2 + 0 = 0 + 2y3 7x2 = 0 + 2y3 Remove the zero: 7x2 = 2y3 Divide each side by '7'. x2 = 0.2857142857y3 Simplifying x2 = 0.2857142857y3 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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