a^2+5ax+6x^2=0

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Solution for a^2+5ax+6x^2=0 equation:


Simplifying
a2 + 5ax + 6x2 = 0

Reorder the terms:
5ax + a2 + 6x2 = 0

Solving
5ax + a2 + 6x2 = 0

Solving for variable 'a'.

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


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

Simplifying
a + 2x = 0

Solving
a + 2x = 0

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

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

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

Simplifying
a = -2x

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

Simplifying
a + 3x = 0

Solving
a + 3x = 0

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

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

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

Simplifying
a = -3x
Solution
a = {-2x, -3x}

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