ax(ax)+bx-c=0

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Solution for ax(ax)+bx-c=0 equation:


Simplifying
ax(ax) + bx + -1c = 0

Multiply ax * ax
a2x2 + bx + -1c = 0

Solving
a2x2 + bx + -1c = 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.
a2x2 + bx + -1bx + -1c = 0 + -1bx

Combine like terms: bx + -1bx = 0
a2x2 + 0 + -1c = 0 + -1bx
a2x2 + -1c = 0 + -1bx
Remove the zero:
a2x2 + -1c = -1bx

Add 'c' to each side of the equation.
a2x2 + -1c + c = -1bx + c

Combine like terms: -1c + c = 0
a2x2 + 0 = -1bx + c
a2x2 = -1bx + c

Divide each side by 'x2'.
a2 = -1bx-1 + cx-2

Simplifying
a2 = -1bx-1 + cx-2

Reorder the terms:
a2 + bx-1 + -1cx-2 = -1bx-1 + bx-1 + cx-2 + -1cx-2

Combine like terms: -1bx-1 + bx-1 = 0
a2 + bx-1 + -1cx-2 = 0 + cx-2 + -1cx-2
a2 + bx-1 + -1cx-2 = cx-2 + -1cx-2

Combine like terms: cx-2 + -1cx-2 = 0
a2 + bx-1 + -1cx-2 = 0

The solution to this equation could not be determined.

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