2x^2+(a-9)*x+3a+4=0

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Solution for 2x^2+(a-9)*x+3a+4=0 equation: 


Simplifying
2x2 + (a + -9) * x + 3a + 4 = 0

Reorder the terms:
2x2 + (-9 + a) * x + 3a + 4 = 0

Reorder the terms for easier multiplication:
2x2 + x(-9 + a) + 3a + 4 = 0
2x2 + (-9 * x + a * x) + 3a + 4 = 0

Reorder the terms:
2x2 + (ax + -9x) + 3a + 4 = 0
2x2 + (ax + -9x) + 3a + 4 = 0

Reorder the terms:
4 + 3a + ax + -9x + 2x2 = 0

Solving
4 + 3a + ax + -9x + 2x2 = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + 3a + ax + -9x + -4 + 2x2 = 0 + -4

Reorder the terms:
4 + -4 + 3a + ax + -9x + 2x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a + ax + -9x + 2x2 = 0 + -4
3a + ax + -9x + 2x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3a + ax + -9x + 2x2 = -4

Add '9x' to each side of the equation.
3a + ax + -9x + 9x + 2x2 = -4 + 9x

Combine like terms: -9x + 9x = 0
3a + ax + 0 + 2x2 = -4 + 9x
3a + ax + 2x2 = -4 + 9x

Add '-2x2' to each side of the equation.
3a + ax + 2x2 + -2x2 = -4 + 9x + -2x2

Combine like terms: 2x2 + -2x2 = 0
3a + ax + 0 = -4 + 9x + -2x2
3a + ax = -4 + 9x + -2x2

Reorder the terms:
4 + 3a + ax + -9x + 2x2 = -4 + 9x + -2x2 + 4 + -9x + 2x2

Reorder the terms:
4 + 3a + ax + -9x + 2x2 = -4 + 4 + 9x + -9x + -2x2 + 2x2

Combine like terms: -4 + 4 = 0
4 + 3a + ax + -9x + 2x2 = 0 + 9x + -9x + -2x2 + 2x2
4 + 3a + ax + -9x + 2x2 = 9x + -9x + -2x2 + 2x2

Combine like terms: 9x + -9x = 0
4 + 3a + ax + -9x + 2x2 = 0 + -2x2 + 2x2
4 + 3a + ax + -9x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
4 + 3a + ax + -9x + 2x2 = 0

The solution to this equation could not be determined.

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