ax^2+bx+c=x

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Solution for ax^2+bx+c=x equation:


Simplifying
ax2 + bx + c = x

Solving
ax2 + bx + c = x

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 = -1bx + x

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

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

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

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

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

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