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

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


Simplifying
x2 + -1(2a + 3) * x + 3a = 0

Reorder the terms:
x2 + -1(3 + 2a) * x + 3a = 0

Reorder the terms for easier multiplication:
x2 + -1x(3 + 2a) + 3a = 0
x2 + (3 * -1x + 2a * -1x) + 3a = 0

Reorder the terms:
x2 + (-2ax + -3x) + 3a = 0
x2 + (-2ax + -3x) + 3a = 0

Reorder the terms:
3a + -2ax + -3x + x2 = 0

Solving
3a + -2ax + -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 + -2ax + -3x + 3x + x2 = 0 + 3x

Combine like terms: -3x + 3x = 0
3a + -2ax + 0 + x2 = 0 + 3x
3a + -2ax + x2 = 0 + 3x
Remove the zero:
3a + -2ax + x2 = 3x

Add '-1x2' to each side of the equation.
3a + -2ax + x2 + -1x2 = 3x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + -2ax + 0 = 3x + -1x2
3a + -2ax = 3x + -1x2

Reorder the terms:
3a + -2ax + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
3a + -2ax + -3x + x2 = 0 + -1x2 + x2
3a + -2ax + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3a + -2ax + -3x + x2 = 0

The solution to this equation could not be determined.

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