=(14x^2y^3)(4x^2-3y^2)

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Solution for =(14x^2y^3)(4x^2-3y^2) equation: 


Simplifying
0 = (14x2y3)(4x2 + -3y2)

Remove parenthesis around (14x2y3)
0 = 14x2y3(4x2 + -3y2)
0 = (4x2 * 14x2y3 + -3y2 * 14x2y3)

Reorder the terms:
0 = (-42x2y5 + 56x4y3)
0 = (-42x2y5 + 56x4y3)

Solving
0 = -42x2y5 + 56x4y3

Solving for variable 'x'.
Remove the zero:
42x2y5 + -56x4y3 = -42x2y5 + 56x4y3 + 42x2y5 + -56x4y3

Reorder the terms:
42x2y5 + -56x4y3 = -42x2y5 + 42x2y5 + 56x4y3 + -56x4y3

Combine like terms: -42x2y5 + 42x2y5 = 0
42x2y5 + -56x4y3 = 0 + 56x4y3 + -56x4y3
42x2y5 + -56x4y3 = 56x4y3 + -56x4y3

Combine like terms: 56x4y3 + -56x4y3 = 0
42x2y5 + -56x4y3 = 0

Factor out the Greatest Common Factor (GCF), '14x2y3'.
14x2y3(3y2 + -4x2) = 0

Ignore the factor 14.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 0

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 '(3y2 + -4x2)' equal to zero and attempt to solve:

Simplifying
3y2 + -4x2 = 0

Reorder the terms:
-4x2 + 3y2 = 0

Solving
-4x2 + 3y2 = 0

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

Add '-3y2' to each side of the equation.
-4x2 + 3y2 + -3y2 = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-4x2 + 0 = 0 + -3y2
-4x2 = 0 + -3y2
Remove the zero:
-4x2 = -3y2

Divide each side by '-4'.
x2 = 0.75y2

Simplifying
x2 = 0.75y2

Take the square root of each side:
x = {-0.866025404y, 0.866025404y}
Solution
x = {-0.866025404y, 0.866025404y}

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