a*x^2+b*x+c=0

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Solution for a*x^2+b*x+c=0 equation:


Simplifying
a * x2 + b * x + c = 0

Multiply a * x2
ax2 + b * x + c = 0

Multiply b * x
ax2 + bx + c = 0

Solving
ax2 + 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.
ax2 + bx + -1bx + c = 0 + -1bx

Combine like terms: bx + -1bx = 0
ax2 + 0 + c = 0 + -1bx
ax2 + c = 0 + -1bx
Remove the zero:
ax2 + c = -1bx

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

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

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

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

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