3ax^2+2bx+c=0

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Solution for 3ax^2+2bx+c=0 equation:


Simplifying
3ax2 + 2bx + c = 0

Solving
3ax2 + 2bx + c = 0

Solving for variable 'a'.

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

Add '-2bx' to each side of the equation.
3ax2 + 2bx + -2bx + c = 0 + -2bx

Combine like terms: 2bx + -2bx = 0
3ax2 + 0 + c = 0 + -2bx
3ax2 + c = 0 + -2bx
Remove the zero:
3ax2 + c = -2bx

Add '-1c' to each side of the equation.
3ax2 + c + -1c = -2bx + -1c

Combine like terms: c + -1c = 0
3ax2 + 0 = -2bx + -1c
3ax2 = -2bx + -1c

Divide each side by '3x2'.
a = -0.6666666667bx-1 + -0.3333333333cx-2

Simplifying
a = -0.6666666667bx-1 + -0.3333333333cx-2

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