y^2-(a+3)y+3a=0

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


Simplifying
y2 + -1(a + 3) * y + 3a = 0

Reorder the terms:
y2 + -1(3 + a) * y + 3a = 0

Reorder the terms for easier multiplication:
y2 + -1y(3 + a) + 3a = 0
y2 + (3 * -1y + a * -1y) + 3a = 0

Reorder the terms:
y2 + (-1ay + -3y) + 3a = 0
y2 + (-1ay + -3y) + 3a = 0

Reorder the terms:
3a + -1ay + -3y + y2 = 0

Solving
3a + -1ay + -3y + y2 = 0

Solving for variable 'a'.

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

Add '3y' to each side of the equation.
3a + -1ay + -3y + 3y + y2 = 0 + 3y

Combine like terms: -3y + 3y = 0
3a + -1ay + 0 + y2 = 0 + 3y
3a + -1ay + y2 = 0 + 3y
Remove the zero:
3a + -1ay + y2 = 3y

Add '-1y2' to each side of the equation.
3a + -1ay + y2 + -1y2 = 3y + -1y2

Combine like terms: y2 + -1y2 = 0
3a + -1ay + 0 = 3y + -1y2
3a + -1ay = 3y + -1y2

Reorder the terms:
3a + -1ay + -3y + y2 = 3y + -3y + -1y2 + y2

Combine like terms: 3y + -3y = 0
3a + -1ay + -3y + y2 = 0 + -1y2 + y2
3a + -1ay + -3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
3a + -1ay + -3y + y2 = 0

The solution to this equation could not be determined.

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