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Rearrange the equation L/E = 2a/(R-x) to make R the subject.

Mathematics

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Answer

R=2aEL+xR = \frac{2aE}{L} + x

Step-by-step solution

4 steps

  1. Write the given equation.

    The equation is:

    LE=2aR−x\frac{L}{E} = \frac{2a}{R-x}

  2. Multiply both sides by (R−x)(R-x) to remove it from the denominator.

    (R−x)⋅LE=2a(R-x) \cdot \frac{L}{E} = 2a

  3. Divide both sides by LE\frac{L}{E} (or multiply by EL\frac{E}{L}) to isolate (R−x)(R-x).

    R−x=2a⋅ELR-x = 2a \cdot \frac{E}{L} R−x=2aELR-x = \frac{2aE}{L}

  4. Add xx to both sides to make RR the subject.

    R=2aEL+xR = \frac{2aE}{L} + x
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