100x^4-81y^6=

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Solution for 100x^4-81y^6= equation:


Simplifying
100x4 + -81y6 = 0

Solving
100x4 + -81y6 = 0

Solving for variable 'x'.

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

Add '81y6' to each side of the equation.
100x4 + -81y6 + 81y6 = 0 + 81y6

Combine like terms: -81y6 + 81y6 = 0
100x4 + 0 = 0 + 81y6
100x4 = 0 + 81y6
Remove the zero:
100x4 = 81y6

Divide each side by '100'.
x4 = 0.81y6

Simplifying
x4 = 0.81y6

Combine like terms: 0.81y6 + -0.81y6 = 0.00
x4 + -0.81y6 = 0.00

Factor a difference between two squares.
(x2 + 0.9y3)(x2 + -0.9y3) = 0.00

Subproblem 1

Set the factor '(x2 + 0.9y3)' equal to zero and attempt to solve: Simplifying x2 + 0.9y3 = 0 Solving x2 + 0.9y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.9y3' to each side of the equation. x2 + 0.9y3 + -0.9y3 = 0 + -0.9y3 Combine like terms: 0.9y3 + -0.9y3 = 0.0 x2 + 0.0 = 0 + -0.9y3 x2 = 0 + -0.9y3 Remove the zero: x2 = -0.9y3 Simplifying x2 = -0.9y3 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 + -0.9y3)' equal to zero and attempt to solve: Simplifying x2 + -0.9y3 = 0 Solving x2 + -0.9y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.9y3' to each side of the equation. x2 + -0.9y3 + 0.9y3 = 0 + 0.9y3 Combine like terms: -0.9y3 + 0.9y3 = 0.0 x2 + 0.0 = 0 + 0.9y3 x2 = 0 + 0.9y3 Remove the zero: x2 = 0.9y3 Simplifying x2 = 0.9y3 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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