x*b+ax^2+bx=0

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Solution for x*b+ax^2+bx=0 equation:


Simplifying
x * b + ax2 + bx = 0

Multiply x * b
bx + ax2 + bx = 0

Reorder the terms:
ax2 + bx + bx = 0

Combine like terms: bx + bx = 2bx
ax2 + 2bx = 0

Solving
ax2 + 2bx = 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.
ax2 + 2bx + -2bx = 0 + -2bx

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

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

Simplifying
a = -2bx-1

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