x(ax+b)=0

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Solution for x(ax+b)=0 equation: 


Simplifying
x(ax + b) = 0
(ax * x + b * x) = 0
(ax2 + bx) = 0

Solving
ax2 + bx = 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 = 0 + -1bx

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

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

Simplifying
a = -1bx-1

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