# Video: Solving Simple Rational Equations with Zero on One Side

Find π₯ given that (π₯ β 20)/(π₯ + 10) = 0.

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### Video Transcript

Find π₯ given that π₯ minus 20 over π₯ plus 10 equals zero.

We can solve this problem algebraically by isolating our π₯-value. To isolate our π₯-value, weβll need to get this π₯ plus 10 out of the denominator. We can get π₯ plus 10 out of the denominator by multiplying by the reciprocal on both sides of the equation. π₯ plus 10 over π₯ plus 10 equals one. These values cancel each other out, leaving us with only π₯ minus 20 on the left side of the equation.

But something really interesting is also happening on the right side of the equation. Weβre multiplying zero times π₯ plus 10. This means that our variable on the right side of the equation disappears and weβre left with only zero. Now, we have an equation that says π₯ minus 20 equals zero. We add 20 to both sides of our equation. And we find that π₯ equals 20 is a solution to this equation.