Solve for h: (h+5)/(h^(2)-6h)-(3)/(h-6)

Find Common Denominator: Combine the two fractions into one by finding a common denominator. The common denominator is h^2 - 6h, which can be factored into h(h - 6).Rewrite with Common Denominator: Rewrite each fraction with the common denominator. (h+5)/(h(h-6)) - (3)/(h-6) becomes (h+5)/(h(h-6)) - (3h)/(h(h-6)).Subtract Fractions: Subtract the second fraction from the first. (h+5)/(h(h-6)) - (3h)/(h(h-6)) = ((h+5) - 3h)/(h(h-6)).Simplify Numerator: Simplify the numerator. ((h+5) - 3h)/(h(h-6)) = (h - 3h + 5)/(h(h-6)) = (-2h + 5)/(h(h-6)).Check for Simplification: Check for any possible simplification or factoring. The numerator and denominator have no common factors, so this is the final simplified form.

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Solve for $h$ : $\frac{h + 5}{h^2 - 6h}$ $-$ $\frac{3}{h-6}$

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Q. Solve for

h

\frac{h + 5}{h^2 - 6h}

-

\frac{3}{h-6}

Find Common Denominator: Combine the two fractions into one by finding a common denominator. $\newline$ The common denominator is $h^2 - 6h$ , which can be factored into $h(h - 6)$ .
Rewrite with Common Denominator: Rewrite each fraction with the common denominator. $(h+5)/(h(h-6)) - 3/(h-6)$ becomes $(h+5)/(h(h-6)) - (3h)/(h(h-6))$ .
Subtract Fractions: Subtract the second fraction from the first. $(h+5)/(h(h-6)) - (3h)/(h(h-6)) = ((h+5) - 3h)/(h(h-6))$ .
Simplify Numerator: Simplify the numerator. $((h+5) - 3h)/(h(h-6)) = (h - 3h + 5)/(h(h-6)) = (-2h + 5)/(h(h-6))$ .
Check for Simplification: Check for any possible simplification or factoring. $\newline$ The numerator and denominator have no common factors, so this is the final simplified form.