(5x^6-7y^5)(5x^6-7y^5)=0

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Solution for (5x^6-7y^5)(5x^6-7y^5)=0 equation:


Simplifying
(5x6 + -7y5)(5x6 + -7y5) = 0

Multiply (5x6 + -7y5) * (5x6 + -7y5)
(5x6 * (5x6 + -7y5) + -7y5 * (5x6 + -7y5)) = 0
((5x6 * 5x6 + -7y5 * 5x6) + -7y5 * (5x6 + -7y5)) = 0

Reorder the terms:
((-35x6y5 + 25x12) + -7y5 * (5x6 + -7y5)) = 0
((-35x6y5 + 25x12) + -7y5 * (5x6 + -7y5)) = 0
(-35x6y5 + 25x12 + (5x6 * -7y5 + -7y5 * -7y5)) = 0
(-35x6y5 + 25x12 + (-35x6y5 + 49y10)) = 0

Reorder the terms:
(-35x6y5 + -35x6y5 + 25x12 + 49y10) = 0

Combine like terms: -35x6y5 + -35x6y5 = -70x6y5
(-70x6y5 + 25x12 + 49y10) = 0

Solving
-70x6y5 + 25x12 + 49y10 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x6 + -7y5)(5x6 + -7y5) = 0

Subproblem 1

Set the factor '(5x6 + -7y5)' equal to zero and attempt to solve: Simplifying 5x6 + -7y5 = 0 Solving 5x6 + -7y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '7y5' to each side of the equation. 5x6 + -7y5 + 7y5 = 0 + 7y5 Combine like terms: -7y5 + 7y5 = 0 5x6 + 0 = 0 + 7y5 5x6 = 0 + 7y5 Remove the zero: 5x6 = 7y5 Divide each side by '5'. x6 = 1.4y5 Simplifying x6 = 1.4y5 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 '(5x6 + -7y5)' equal to zero and attempt to solve: Simplifying 5x6 + -7y5 = 0 Solving 5x6 + -7y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '7y5' to each side of the equation. 5x6 + -7y5 + 7y5 = 0 + 7y5 Combine like terms: -7y5 + 7y5 = 0 5x6 + 0 = 0 + 7y5 5x6 = 0 + 7y5 Remove the zero: 5x6 = 7y5 Divide each side by '5'. x6 = 1.4y5 Simplifying x6 = 1.4y5 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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