Solve [h^3o ] = 2*10-14 m

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Example problems

Type your math problem... [h^3o ] = 2*10-14 m

Question

Solve the equation

Solve for h

Solve for m

Solve for o

h = \frac{3 20 o ^{2} - 14 m o ^{2}}{o}

Evaluate

h^{3} o = 2 \times 10 - 14 m

Multiply the numbers

h^{3} o = 20 - 14 m

Rewrite the expression

o h^{3} = 20 - 14 m

Divide both sides

\frac{o h ^{3}}{o} = \frac{20 - 14 m}{o}

Divide the numbers

h^{3} = \frac{20 - 14 m}{o}

Take the 3 -th root on both sides of the equation

3 h^{3} = 3 \frac{20 - 14 m}{o}

Calculate

h = 3 \frac{20 - 14 m}{o}

Solution

More Steps

Evaluate

3 \frac{20 - 14 m}{o}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 20 - 14 m}{3 o}

Multiply by the Conjugate

\frac{3 20 - 14 m \times 3 o ^{2}}{3 o \times 3 o ^{2}}

Calculate

\frac{3 20 - 14 m \times 3 o ^{2}}{o}

Calculate

More Steps

Evaluate

3 20 - 14 m \times 3 o^{2}

The product of roots with the same index is equal to the root of the product

3 (20 - 14 m) o^{2}

Calculate the product

3 20 o^{2} - 14 m o^{2}

\frac{3 20 o ^{2} - 14 m o ^{2}}{o}

h = \frac{3 20 o ^{2} - 14 m o ^{2}}{o}

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