Solve for x. (-1)/(x)+(2)/(9)=(5)/(9x) Answer: x=

Find Common Denominator: Find a common denominator for the terms on the left side of the equation. The common denominator for x and 9 is 9x. We will rewrite each term with the common denominator. (-1)/(x) becomes (-9)/(9x) and (2)/(9) becomes (2x)/(9x).Rewrite with Common Denominator: Rewrite the equation with the common denominator. The equation now looks like this: (-9)/(9x) + (2x)/(9x) = (5)/(9x).Combine Numerators: Since all terms have the same denominator, we can combine the numerators. Combine the numerators: -9 + 2x = 5.Solve for x: Solve for x. Add 9 to both sides of the equation to isolate the term with x on one side: 2x = 5 + 9.Continue Solving for x: Continue solving for x. 2x = 14. Now, divide both sides by 2 to solve for x: x = 14 / 2.Simplify Result: Simplify the result to find the value of x. x = 7.

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Precalculus

Find the roots of factored polynomials

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Q. Solve for

x

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\frac{-1}{x}+\frac{2}{9}=\frac{5}{9 x}

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Answer:

x=

Find Common Denominator: Find a common denominator for the terms on the left side of the equation. $\newline$ The common denominator for $x$ and $9$ is $9x$ . We will rewrite each term with the common denominator. $\newline$ $(-1)/(x)$ becomes $(-9)/(9x)$ and $(2)/(9)$ becomes $(2x)/(9x)$ .
Rewrite with Common Denominator: Rewrite the equation with the common denominator. $\newline$ The equation now looks like this: $\frac{-9}{9x} + \frac{2x}{9x} = \frac{5}{9x}$ .
Combine Numerators: Since all terms have the same denominator, we can combine the numerators. $\newline$ Combine the numerators: $-9 + 2x = 5$ .
Solve for x: Solve for x. $\newline$ Add $9$ to both sides of the equation to isolate the term with $x$ on one side: $2x = 5 + 9$ .
Continue Solving for x: Continue solving for x. $\newline$ $2x = 14$ . $\newline$ Now, divide both sides by $2$ to solve for x: $x = \frac{14}{2}$ .
Simplify Result: Simplify the result to find the value of $x$ . $x = 7$ .