6X^2-AX-15A^2=0

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Solution for 6X^2-AX-15A^2=0 equation: 


Simplifying
6X2 + -1AX + -15A2 = 0

Reorder the terms:
-1AX + -15A2 + 6X2 = 0

Solving
-1AX + -15A2 + 6X2 = 0

Solving for variable 'A'.

Factor a trinomial.
(-3A + -2X)(5A + -3X) = 0


Subproblem 1
Set the factor '(-3A + -2X)' equal to zero and attempt to solve:

Simplifying
-3A + -2X = 0

Solving
-3A + -2X = 0

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

Add '2X' to each side of the equation.
-3A + -2X + 2X = 0 + 2X

Combine like terms: -2X + 2X = 0
-3A + 0 = 0 + 2X
-3A = 0 + 2X
Remove the zero:
-3A = 2X

Divide each side by '-3'.
A = -0.6666666667X

Simplifying
A = -0.6666666667X

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

Simplifying
5A + -3X = 0

Solving
5A + -3X = 0

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

Add '3X' to each side of the equation.
5A + -3X + 3X = 0 + 3X

Combine like terms: -3X + 3X = 0
5A + 0 = 0 + 3X
5A = 0 + 3X
Remove the zero:
5A = 3X

Divide each side by '5'.
A = 0.6X

Simplifying
A = 0.6X
Solution
A = {-0.6666666667X, 0.6X}

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