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# Solve the rational equation $\frac{1}{\sqrt{\frac{\left(-11x\right)^2}{2}+6x}}=0$

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##  Step-by-step Solution 

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1

Combine $\frac{\left(-11x\right)^2}{2}+6x$ in a single fraction

$\frac{1}{\sqrt{\frac{\left(-11x\right)^2+12x}{2}}}=0$

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$\frac{1}{\sqrt{\frac{\left(-11x\right)^2+12x}{2}}}=0$

Learn how to solve problems step by step online. Solve the rational equation 1/((((-11x)^2)/2+6x)^1/2)=0. Combine \frac{\left(-11x\right)^2}{2}+6x in a single fraction. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Divide fractions \frac{1}{\frac{\sqrt{\left(-11x\right)^2+12x}}{\sqrt{2}}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. No solutions exist for this equation.

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