(5x^2+6y^3)(7x^2+6y^3)=

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Solution for (5x^2+6y^3)(7x^2+6y^3)= equation: 


Simplifying
(5x2 + 6y3)(7x2 + 6y3) = 0

Multiply (5x2 + 6y3) * (7x2 + 6y3)
(5x2 * (7x2 + 6y3) + 6y3 * (7x2 + 6y3)) = 0
((7x2 * 5x2 + 6y3 * 5x2) + 6y3 * (7x2 + 6y3)) = 0

Reorder the terms:
((30x2y3 + 35x4) + 6y3 * (7x2 + 6y3)) = 0
((30x2y3 + 35x4) + 6y3 * (7x2 + 6y3)) = 0
(30x2y3 + 35x4 + (7x2 * 6y3 + 6y3 * 6y3)) = 0
(30x2y3 + 35x4 + (42x2y3 + 36y6)) = 0

Reorder the terms:
(30x2y3 + 42x2y3 + 35x4 + 36y6) = 0

Combine like terms: 30x2y3 + 42x2y3 = 72x2y3
(72x2y3 + 35x4 + 36y6) = 0

Solving
72x2y3 + 35x4 + 36y6 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x2 + 6y3)(5x2 + 6y3) = 0


Subproblem 1
Set the factor '(7x2 + 6y3)' equal to zero and attempt to solve:

Simplifying
7x2 + 6y3 = 0

Solving
7x2 + 6y3 = 0

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

Add '-6y3' to each side of the equation.
7x2 + 6y3 + -6y3 = 0 + -6y3

Combine like terms: 6y3 + -6y3 = 0
7x2 + 0 = 0 + -6y3
7x2 = 0 + -6y3
Remove the zero:
7x2 = -6y3

Divide each side by '7'.
x2 = -0.8571428571y3

Simplifying
x2 = -0.8571428571y3

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 '(5x2 + 6y3)' equal to zero and attempt to solve:

Simplifying
5x2 + 6y3 = 0

Solving
5x2 + 6y3 = 0

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

Add '-6y3' to each side of the equation.
5x2 + 6y3 + -6y3 = 0 + -6y3

Combine like terms: 6y3 + -6y3 = 0
5x2 + 0 = 0 + -6y3
5x2 = 0 + -6y3
Remove the zero:
5x2 = -6y3

Divide each side by '5'.
x2 = -1.2y3

Simplifying
x2 = -1.2y3

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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