2a*(3x^2-5y^2)=

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Solution for 2a*(3x^2-5y^2)= equation: 


Simplifying
2a(3x2 + -5y2) = 0
(3x2 * 2a + -5y2 * 2a) = 0
(6ax2 + -10ay2) = 0

Solving
6ax2 + -10ay2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(3x2 + -5y2) = 0

Ignore the factor 2.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(3x2 + -5y2)' equal to zero and attempt to solve:

Simplifying
3x2 + -5y2 = 0

Solving
3x2 + -5y2 = 0

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

Add '-3x2' to each side of the equation.
3x2 + -3x2 + -5y2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + -5y2 = 0 + -3x2
-5y2 = 0 + -3x2
Remove the zero:
-5y2 = -3x2

Add '5y2' to each side of the equation.
-5y2 + 5y2 = -3x2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
0 = -3x2 + 5y2

Simplifying
0 = -3x2 + 5y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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