X^2+(a-1)x+3a=0

Solution for X^2+(a-1)x+3a=0 equation:

Simplifying
X2 + (a + -1) * x + 3a = 0

Reorder the terms:
X2 + (-1 + a) * x + 3a = 0

Reorder the terms for easier multiplication:
X2 + x(-1 + a) + 3a = 0
X2 + (-1 * x + a * x) + 3a = 0

Reorder the terms:
X2 + (ax + -1x) + 3a = 0
X2 + (ax + -1x) + 3a = 0

Reorder the terms:
X2 + 3a + ax + -1x = 0

Solving
X2 + 3a + ax + -1x = 0

Solving for variable 'X'.

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

Add '-3a' to each side of the equation.
X2 + 3a + ax + -3a + -1x = 0 + -3a

Reorder the terms:
X2 + 3a + -3a + ax + -1x = 0 + -3a

Combine like terms: 3a + -3a = 0
X2 + 0 + ax + -1x = 0 + -3a
X2 + ax + -1x = 0 + -3a
Remove the zero:
X2 + ax + -1x = -3a

Add '-1ax' to each side of the equation.
X2 + ax + -1ax + -1x = -3a + -1ax

Combine like terms: ax + -1ax = 0
X2 + 0 + -1x = -3a + -1ax
X2 + -1x = -3a + -1ax

Add 'x' to each side of the equation.
X2 + -1x + x = -3a + -1ax + x

Combine like terms: -1x + x = 0
X2 + 0 = -3a + -1ax + x
X2 = -3a + -1ax + x

Simplifying
X2 = -3a + -1ax + x

Reorder the terms:
X2 + 3a + ax + -1x = -3a + 3a + -1ax + ax + x + -1x

Combine like terms: -3a + 3a = 0
X2 + 3a + ax + -1x = 0 + -1ax + ax + x + -1x
X2 + 3a + ax + -1x = -1ax + ax + x + -1x

Combine like terms: -1ax + ax = 0
X2 + 3a + ax + -1x = 0 + x + -1x
X2 + 3a + ax + -1x = x + -1x

Combine like terms: x + -1x = 0
X2 + 3a + ax + -1x = 0

The solution to this equation could not be determined.