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Algebra · Linear-Equations

Solve 6.0e-6·pi·U = 1.00000e-8

6.0 \cdot 10^{-6} \pi U = 1.0 \cdot 10^{-8}

Step by step

  1. 6.0 \cdot 10^{-6} \pi U = 1.0 \cdot 10^{-8}

    Start from the equation as given.

  2. 6.0 \cdot 10^{-6} \pi U - 1.0 \cdot 10^{-8} = 0

    Bring everything to one side and collect like terms so the right-hand side is 0.

  3. 6.0 \cdot 10^{-6} \pi U = 1.0 \cdot 10^{-8}

    Move the constant term to the other side: subtract -1.0 \cdot 10^{-8} from both sides.

  4. U = \frac{1.0 \cdot 10^{-8}}{6.0 \cdot 10^{-6} \pi}

    Divide both sides by 6.0 \cdot 10^{-6} \pi, the coefficient of U.

  5. U = \frac{1}{600 \pi} \approx 0.00053052

    Simplify the fraction.

Reveal the answer
U = \frac{1}{600 \pi}