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solve the equation for the indicated variable d=3ef^2 for e

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The solution to the equation of the indicated variable is:

[tex]\mathbf{e = \dfrac{d}{3f^2}}[/tex]

In an equation, solving for a variable implies that we make that variable we are to solve the subject of the formula and relate it to the rest of the variables present in the equation.

Given that:

d = 3ef^2

The first step would be to divide both sides by e:

[tex]\mathbf{\dfrac{d}{e} = \dfrac{3ef^2}{e}}[/tex]

[tex]\mathbf{\dfrac{d}{e} = 3f^2}}[/tex]

[tex]\mathbf{\dfrac{1}{e} = \dfrac{3f^2}{d}}[/tex]

[tex]\mathbf{e^{-1} = \dfrac{3f^2}{d}}[/tex]

[tex]\mathbf{e^{-1\times (-1)} =\Big( \dfrac{3f^2}{d}\Big)^{-1}}[/tex]

[tex]\mathbf{e = \dfrac{d}{3f^2}}[/tex]

Learn more about variables here:

https://brainly.com/question/3766847

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