Solve for all values of x. (-1)/(13 x)=(x)/(-13) Answer: x=

Identify equation: Identify the equation to solve. The equation given is (-1)/(13x) = (x)/(-13). We need to find the value of x that satisfies this equation.Cross-multiply fractions: Cross-multiply to eliminate the fractions. Cross-multiplying gives us -1 * (-13) = 13x * x, which simplifies to 13 = 13x^2.Divide sides isolate: Divide both sides by 13 to isolate x^2. Dividing both sides by 13 gives us 1 = x^2.Take square root: Take the square root of both sides to solve for x. Taking the square root of both sides gives us x = ±1, since both 1 and -1 are square roots of 1.

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Solve for all values of
x.

(-1)/(13 x)=(x)/(-13)
Answer:
x=

Solve for all values of $x$ . $\newline$ $\frac{-1}{13 x}=\frac{x}{-13}$ $\newline$ Answer: $x=$

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Precalculus

Find the roots of factored polynomials

Full solution

Q. Solve for all values of

x

\newline

\frac{-1}{13 x}=\frac{x}{-13}

\newline

Answer:

x=

Identify equation: Identify the equation to solve. $\newline$ The equation given is $(-1)/(13x) = (x)/(-13)$ . We need to find the value of $x$ that satisfies this equation.
Cross-multiply fractions: Cross-multiply to eliminate the fractions. Cross-multiplying gives us $-1 \times (-13) = 13x \times x$ , which simplifies to $13 = 13x^2$ .
Divide sides isolate: Divide both sides by $13$ to isolate $x^2$ . $\newline$ Dividing both sides by $13$ gives us $1 = x^2$ .
Take square root: Take the square root of both sides to solve for $x$ . $\newline$ Taking the square root of both sides gives us $x = \pm1$ , since both $1$ and $-1$ are square roots of $1$ .