-12x^2+5ax+2a^2=0

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Solution for -12x^2+5ax+2a^2=0 equation: 


Simplifying
-12x2 + 5ax + 2a2 = 0

Reorder the terms:
5ax + 2a2 + -12x2 = 0

Solving
5ax + 2a2 + -12x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -3x)(a + 4x) = 0


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

Simplifying
2a + -3x = 0

Solving
2a + -3x = 0

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

Add '3x' to each side of the equation.
2a + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2a + 0 = 0 + 3x
2a = 0 + 3x
Remove the zero:
2a = 3x

Divide each side by '2'.
a = 1.5x

Simplifying
a = 1.5x

Subproblem 2
Set the factor '(a + 4x)' equal to zero and attempt to solve:

Simplifying
a + 4x = 0

Solving
a + 4x = 0

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

Add '-4x' to each side of the equation.
a + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
a + 0 = 0 + -4x
a = 0 + -4x
Remove the zero:
a = -4x

Simplifying
a = -4x
Solution
a = {1.5x, -4x}

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