x^2+(a+3)x+3a=0

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Solution for x^2+(a+3)x+3a=0 equation:


Simplifying
x2 + (a + 3) * x + 3a = 0

Reorder the terms:
x2 + (3 + a) * x + 3a = 0

Reorder the terms for easier multiplication:
x2 + x(3 + a) + 3a = 0
x2 + (3 * x + a * x) + 3a = 0

Reorder the terms:
x2 + (ax + 3x) + 3a = 0
x2 + (ax + 3x) + 3a = 0

Reorder the terms:
3a + ax + 3x + x2 = 0

Solving
3a + ax + 3x + x2 = 0

Solving for variable 'a'.

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

Add '-3x' to each side of the equation.
3a + ax + 3x + -3x + x2 = 0 + -3x

Combine like terms: 3x + -3x = 0
3a + ax + 0 + x2 = 0 + -3x
3a + ax + x2 = 0 + -3x
Remove the zero:
3a + ax + x2 = -3x

Add '-1x2' to each side of the equation.
3a + ax + x2 + -1x2 = -3x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + ax + 0 = -3x + -1x2
3a + ax = -3x + -1x2

Reorder the terms:
3a + ax + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
3a + ax + 3x + x2 = 0 + -1x2 + x2
3a + ax + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3a + ax + 3x + x2 = 0

The solution to this equation could not be determined.

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