ax*2+bx+c=0

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Solution for ax*2+bx+c=0 equation:


Simplifying
ax * 2 + bx + c = 0

Reorder the terms for easier multiplication:
2ax + bx + c = 0

Solving
2ax + bx + c = 0

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
2ax + bx + -1bx + c = 0 + -1bx

Combine like terms: bx + -1bx = 0
2ax + 0 + c = 0 + -1bx
2ax + c = 0 + -1bx
Remove the zero:
2ax + c = -1bx

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

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

Divide each side by '2x'.
a = -0.5b + -0.5cx-1

Simplifying
a = -0.5b + -0.5cx-1

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