Solve 8m^2 20m=12

Question

Solve the equation

m = \frac{3 75}{10}

Alternative Form

m \approx 0.421716

Evaluate

8 m^{2} \times 20 m = 12

Multiply

More Steps

Evaluate

8 m^{2} \times 20 m

Multiply the terms

160 m^{2} \times m

Multiply the terms with the same base by adding their exponents

160 m^{2 + 1}

Add the numbers

160 m^{3}

160 m^{3} = 12

Divide both sides

\frac{160 m ^{3}}{160} = \frac{12}{160}

Divide the numbers

m^{3} = \frac{12}{160}

Cancel out the common factor 4

m^{3} = \frac{3}{40}

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

3 m^{3} = 3 \frac{3}{40}

Calculate

m = 3 \frac{3}{40}

Solution

More Steps

Evaluate

3 \frac{3}{40}

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

\frac{3 3}{3 40}

Simplify the radical expression

More Steps

Evaluate

340

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 5

Write the number in exponential form with the base of 2

3 2^{3} \times 5

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 35

Reduce the index of the radical and exponent with 3

235

\frac{3 3}{2 3 5}

Multiply by the Conjugate

\frac{3 3 \times 3 5 ^{2}}{2 3 5 \times 3 5 ^{2}}

Simplify

\frac{3 3 \times 3 25}{2 3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 325

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

3 3 \times 25

Calculate the product

375

\frac{3 75}{2 3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

235 \times 3 5^{2}

Multiply the terms

2 \times 5

Multiply the terms

10

\frac{3 75}{10}

m = \frac{3 75}{10}

Alternative Form

m \approx 0.421716

Show Solution