3x^2+2ax+b=0

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Solution for 3x^2+2ax+b=0 equation:


Simplifying
3x2 + 2ax + b = 0

Reorder the terms:
2ax + b + 3x2 = 0

Solving
2ax + b + 3x2 = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
2ax + b + -1b + 3x2 = 0 + -1b

Combine like terms: b + -1b = 0
2ax + 0 + 3x2 = 0 + -1b
2ax + 3x2 = 0 + -1b
Remove the zero:
2ax + 3x2 = -1b

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

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

Divide each side by '2x'.
a = -0.5bx-1 + -1.5x

Simplifying
a = -0.5bx-1 + -1.5x

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