Solve m^39024/10-6

Question

Simplify the expression

\frac{4512}{5} m^{3} - 6

Evaluate

m^{3} \times \frac{9024}{10} - 6

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 6

Solution

\frac{4512}{5} m^{3} - 6

Show Solution

\frac{6}{5} (752 m^{3} - 5)

Evaluate

m^{3} \times \frac{9024}{10} - 6

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 6

Use the commutative property to reorder the terms

\frac{4512}{5} m^{3} - 6

Solution

\frac{6}{5} (752 m^{3} - 5)

Show Solution

m = \frac{3 44180}{188}

Alternative Form

m \approx 0.18804

Evaluate

m^{3} \times \frac{9024}{10} - 6

To find the roots of the expression,set the expression equal to 0

m^{3} \times \frac{9024}{10} - 6 = 0

Cancel out the common factor 2

m^{3} \times \frac{4512}{5} - 6 = 0

Use the commutative property to reorder the terms

\frac{4512}{5} m^{3} - 6 = 0

Move the constant to the right-hand side and change its sign

\frac{4512}{5} m^{3} = 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

\frac{4512}{5} m^{3} = 6

Multiply by the reciprocal

\frac{4512}{5} m^{3} \times \frac{5}{4512} = 6 \times \frac{5}{4512}

Multiply

m^{3} = 6 \times \frac{5}{4512}

Multiply

More Steps

Evaluate

6 \times \frac{5}{4512}

Reduce the numbers

1 \times \frac{5}{752}

Multiply the numbers

\frac{5}{752}

m^{3} = \frac{5}{752}

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

3 m^{3} = 3 \frac{5}{752}

Calculate

m = 3 \frac{5}{752}

Solution

More Steps

Evaluate

3 \frac{5}{752}

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

\frac{3 5}{3 752}

Simplify the radical expression

More Steps

Evaluate

3752

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

3 8 \times 94

Write the number in exponential form with the base of 2

3 2^{3} \times 94

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

3 2^{3} \times 394

Reduce the index of the radical and exponent with 3

2394

\frac{3 5}{2 3 94}

Multiply by the Conjugate

\frac{3 5 \times 3 9 4 ^{2}}{2 3 94 \times 3 9 4 ^{2}}

Simplify

\frac{3 5 \times 3 8836}{2 3 94 \times 3 9 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 38836

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

3 5 \times 8836

Calculate the product

344180

\frac{3 44180}{2 3 94 \times 3 9 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

2394 \times 3 9 4^{2}

Multiply the terms

2 \times 94

Multiply the terms

188

\frac{3 44180}{188}

m = \frac{3 44180}{188}

Alternative Form

m \approx 0.18804

Show Solution