3x^2+3(a+b)x+4ab=0

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Solution for 3x^2+3(a+b)x+4ab=0 equation: 


Simplifying
3x2 + 3(a + b) * x + 4ab = 0

Reorder the terms for easier multiplication:
3x2 + 3x(a + b) + 4ab = 0
3x2 + (a * 3x + b * 3x) + 4ab = 0
3x2 + (3ax + 3bx) + 4ab = 0

Reorder the terms:
4ab + 3ax + 3bx + 3x2 = 0

Solving
4ab + 3ax + 3bx + 3x2 = 0

Solving for variable 'a'.

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

Add '-3bx' to each side of the equation.
4ab + 3ax + 3bx + -3bx + 3x2 = 0 + -3bx

Combine like terms: 3bx + -3bx = 0
4ab + 3ax + 0 + 3x2 = 0 + -3bx
4ab + 3ax + 3x2 = 0 + -3bx
Remove the zero:
4ab + 3ax + 3x2 = -3bx

Add '-3x2' to each side of the equation.
4ab + 3ax + 3x2 + -3x2 = -3bx + -3x2

Combine like terms: 3x2 + -3x2 = 0
4ab + 3ax + 0 = -3bx + -3x2
4ab + 3ax = -3bx + -3x2

Reorder the terms:
4ab + 3ax + 3bx + 3x2 = -3bx + 3bx + -3x2 + 3x2

Combine like terms: -3bx + 3bx = 0
4ab + 3ax + 3bx + 3x2 = 0 + -3x2 + 3x2
4ab + 3ax + 3bx + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
4ab + 3ax + 3bx + 3x2 = 0

The solution to this equation could not be determined.

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