25x^4y^2-9=0

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Solution for 25x^4y^2-9=0 equation:


Simplifying
25x4y2 + -9 = 0

Reorder the terms:
-9 + 25x4y2 = 0

Solving
-9 + 25x4y2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 25x4y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 25x4y2 = 0 + 9
25x4y2 = 0 + 9

Combine like terms: 0 + 9 = 9
25x4y2 = 9

Divide each side by '25y2'.
x4 = 0.36y-2

Simplifying
x4 = 0.36y-2

Combine like terms: 0.36y-2 + -0.36y-2 = 0.00
x4 + -0.36y-2 = 0.00

Factor out the Greatest Common Factor (GCF), 'y-2'.
y-2(x4y2 + -0.36) = 0.00

Factor a difference between two squares.
y-2((x2y + 0.6)(x2y + -0.6)) = 0.00

Subproblem 1

Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x2y + 0.6)' equal to zero and attempt to solve: Simplifying x2y + 0.6 = 0 Reorder the terms: 0.6 + x2y = 0 Solving 0.6 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + x2y = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + x2y = 0 + -0.6 x2y = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 x2y = -0.6 Divide each side by 'y'. x2 = -0.6y-1 Simplifying x2 = -0.6y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(x2y + -0.6)' equal to zero and attempt to solve: Simplifying x2y + -0.6 = 0 Reorder the terms: -0.6 + x2y = 0 Solving -0.6 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x2y = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x2y = 0 + 0.6 x2y = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 x2y = 0.6 Divide each side by 'y'. x2 = 0.6y-1 Simplifying x2 = 0.6y-1 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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