Solve for x
x=-\frac{1}{\theta }
\theta \neq 0
Solve for θ
\theta =-\frac{1}{x}
x\neq 0
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-1=\theta x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\theta x=-1
Swap sides so that all variable terms are on the left hand side.
\frac{\theta x}{\theta }=-\frac{1}{\theta }
Divide both sides by \theta .
x=-\frac{1}{\theta }
Dividing by \theta undoes the multiplication by \theta .
x=-\frac{1}{\theta }\text{, }x\neq 0
Variable x cannot be equal to 0.
-1=\theta x
Multiply both sides of the equation by x.
\theta x=-1
Swap sides so that all variable terms are on the left hand side.
x\theta =-1
The equation is in standard form.
\frac{x\theta }{x}=-\frac{1}{x}
Divide both sides by x.
\theta =-\frac{1}{x}
Dividing by x undoes the multiplication by x.
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