7ax+a^2+6x^2=0

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Solution for 7ax+a^2+6x^2=0 equation: 


Simplifying
7ax + a2 + 6x2 = 0

Solving
7ax + a2 + 6x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + x)(a + 6x) = 0


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

Simplifying
a + x = 0

Solving
a + x = 0

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

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

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

Simplifying
a = -1x

Subproblem 2
Set the factor '(a + 6x)' equal to zero and attempt to solve:

Simplifying
a + 6x = 0

Solving
a + 6x = 0

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

Add '-6x' to each side of the equation.
a + 6x + -6x = 0 + -6x

Combine like terms: 6x + -6x = 0
a + 0 = 0 + -6x
a = 0 + -6x
Remove the zero:
a = -6x

Simplifying
a = -6x
Solution
a = {-1x, -6x}

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