3a^2+22ax+7x^2=0

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Solution for 3a^2+22ax+7x^2=0 equation: 


Simplifying
3a2 + 22ax + 7x2 = 0

Reorder the terms:
22ax + 3a2 + 7x2 = 0

Solving
22ax + 3a2 + 7x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + x)(a + 7x) = 0


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

Simplifying
3a + x = 0

Solving
3a + x = 0

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

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

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

Divide each side by '3'.
a = -0.3333333333x

Simplifying
a = -0.3333333333x

Subproblem 2
Set the factor '(a + 7x)' equal to zero and attempt to solve:

Simplifying
a + 7x = 0

Solving
a + 7x = 0

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

Add '-7x' to each side of the equation.
a + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
a + 0 = 0 + -7x
a = 0 + -7x
Remove the zero:
a = -7x

Simplifying
a = -7x
Solution
a = {-0.3333333333x, -7x}

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