ax+(3a+1)x+a+3=0

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Solution for ax+(3a+1)x+a+3=0 equation:


Simplifying
ax + (3a + 1) * x + a + 3 = 0

Reorder the terms:
ax + (1 + 3a) * x + a + 3 = 0

Reorder the terms for easier multiplication:
ax + x(1 + 3a) + a + 3 = 0
ax + (1 * x + 3a * x) + a + 3 = 0

Reorder the terms:
ax + (3ax + 1x) + a + 3 = 0
ax + (3ax + 1x) + a + 3 = 0

Reorder the terms:
3 + a + ax + 3ax + 1x = 0

Combine like terms: ax + 3ax = 4ax
3 + a + 4ax + 1x = 0

Solving
3 + a + 4ax + 1x = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + a + 4ax + -3 + 1x = 0 + -3

Reorder the terms:
3 + -3 + a + 4ax + 1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a + 4ax + 1x = 0 + -3
a + 4ax + 1x = 0 + -3

Combine like terms: 0 + -3 = -3
a + 4ax + 1x = -3

Add '-1x' to each side of the equation.
a + 4ax + 1x + -1x = -3 + -1x

Combine like terms: 1x + -1x = 0
a + 4ax + 0 = -3 + -1x
a + 4ax = -3 + -1x

Reorder the terms:
3 + a + 4ax + x = -3 + -1x + 3 + x

Reorder the terms:
3 + a + 4ax + x = -3 + 3 + -1x + x

Combine like terms: -3 + 3 = 0
3 + a + 4ax + x = 0 + -1x + x
3 + a + 4ax + x = -1x + x

Combine like terms: -1x + x = 0
3 + a + 4ax + x = 0

The solution to this equation could not be determined.

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