25a^4b^8-49x^8y^10=0

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Solution for 25a^4b^8-49x^8y^10=0 equation:


Simplifying
25a4b8 + -49x8y10 = 0

Solving
25a4b8 + -49x8y10 = 0

Solving for variable 'a'.

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

Add '49x8y10' to each side of the equation.
25a4b8 + -49x8y10 + 49x8y10 = 0 + 49x8y10

Combine like terms: -49x8y10 + 49x8y10 = 0
25a4b8 + 0 = 0 + 49x8y10
25a4b8 = 0 + 49x8y10
Remove the zero:
25a4b8 = 49x8y10

Divide each side by '25b8'.
a4 = 1.96b-8x8y10

Simplifying
a4 = 1.96b-8x8y10

Combine like terms: 1.96b-8x8y10 + -1.96b-8x8y10 = 0.00
a4 + -1.96b-8x8y10 = 0.00

Factor a difference between two squares.
(a2 + 1.4b-4x4y5)(a2 + -1.4b-4x4y5) = 0.00

Subproblem 1

Set the factor '(a2 + 1.4b-4x4y5)' equal to zero and attempt to solve: Simplifying a2 + 1.4b-4x4y5 = 0 Solving a2 + 1.4b-4x4y5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.4b-4x4y5' to each side of the equation. a2 + 1.4b-4x4y5 + -1.4b-4x4y5 = 0 + -1.4b-4x4y5 Combine like terms: 1.4b-4x4y5 + -1.4b-4x4y5 = 0.0 a2 + 0.0 = 0 + -1.4b-4x4y5 a2 = 0 + -1.4b-4x4y5 Remove the zero: a2 = -1.4b-4x4y5 Simplifying a2 = -1.4b-4x4y5 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 '(a2 + -1.4b-4x4y5)' equal to zero and attempt to solve: Simplifying a2 + -1.4b-4x4y5 = 0 Solving a2 + -1.4b-4x4y5 = 0 Move all terms containing a to the left, all other terms to the right. Add '1.4b-4x4y5' to each side of the equation. a2 + -1.4b-4x4y5 + 1.4b-4x4y5 = 0 + 1.4b-4x4y5 Combine like terms: -1.4b-4x4y5 + 1.4b-4x4y5 = 0.0 a2 + 0.0 = 0 + 1.4b-4x4y5 a2 = 0 + 1.4b-4x4y5 Remove the zero: a2 = 1.4b-4x4y5 Simplifying a2 = 1.4b-4x4y5 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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