(4x^3+5y^2)(5x^3+7y^2)=

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Solution for (4x^3+5y^2)(5x^3+7y^2)= equation: 


Simplifying
(4x3 + 5y2)(5x3 + 7y2) = 0

Multiply (4x3 + 5y2) * (5x3 + 7y2)
(4x3 * (5x3 + 7y2) + 5y2 * (5x3 + 7y2)) = 0
((5x3 * 4x3 + 7y2 * 4x3) + 5y2 * (5x3 + 7y2)) = 0

Reorder the terms:
((28x3y2 + 20x6) + 5y2 * (5x3 + 7y2)) = 0
((28x3y2 + 20x6) + 5y2 * (5x3 + 7y2)) = 0
(28x3y2 + 20x6 + (5x3 * 5y2 + 7y2 * 5y2)) = 0
(28x3y2 + 20x6 + (25x3y2 + 35y4)) = 0

Reorder the terms:
(28x3y2 + 25x3y2 + 20x6 + 35y4) = 0

Combine like terms: 28x3y2 + 25x3y2 = 53x3y2
(53x3y2 + 20x6 + 35y4) = 0

Solving
53x3y2 + 20x6 + 35y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x3 + 5y2)(5x3 + 7y2) = 0


Subproblem 1
Set the factor '(4x3 + 5y2)' equal to zero and attempt to solve:

Simplifying
4x3 + 5y2 = 0

Solving
4x3 + 5y2 = 0

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

Add '-5y2' to each side of the equation.
4x3 + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
4x3 + 0 = 0 + -5y2
4x3 = 0 + -5y2
Remove the zero:
4x3 = -5y2

Divide each side by '4'.
x3 = -1.25y2

Simplifying
x3 = -1.25y2

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 '(5x3 + 7y2)' equal to zero and attempt to solve:

Simplifying
5x3 + 7y2 = 0

Solving
5x3 + 7y2 = 0

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

Add '-7y2' to each side of the equation.
5x3 + 7y2 + -7y2 = 0 + -7y2

Combine like terms: 7y2 + -7y2 = 0
5x3 + 0 = 0 + -7y2
5x3 = 0 + -7y2
Remove the zero:
5x3 = -7y2

Divide each side by '5'.
x3 = -1.4y2

Simplifying
x3 = -1.4y2

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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