15x^2+2ax-a^2=0

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Solution for 15x^2+2ax-a^2=0 equation: 


Simplifying
15x2 + 2ax + -1a2 = 0

Reorder the terms:
2ax + -1a2 + 15x2 = 0

Solving
2ax + -1a2 + 15x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1a + -3x)(a + -5x) = 0


Subproblem 1
Set the factor '(-1a + -3x)' equal to zero and attempt to solve:

Simplifying
-1a + -3x = 0

Solving
-1a + -3x = 0

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

Add '3x' to each side of the equation.
-1a + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1a + 0 = 0 + 3x
-1a = 0 + 3x
Remove the zero:
-1a = 3x

Divide each side by '-1'.
a = -3x

Simplifying
a = -3x

Subproblem 2
Set the factor '(a + -5x)' equal to zero and attempt to solve:

Simplifying
a + -5x = 0

Solving
a + -5x = 0

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

Add '5x' to each side of the equation.
a + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
a + 0 = 0 + 5x
a = 0 + 5x
Remove the zero:
a = 5x

Simplifying
a = 5x
Solution
a = {-3x, 5x}

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