Solve m^3-2-0-0-8m^3

Question

Simplify the expression

- 7 m^{3} - 2

Evaluate

m^{3} - 2 - 0 - 0 - 8 m^{3}

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

m^{3} - 2 - 8 m^{3}

Solution

More Steps

Evaluate

m^{3} - 8 m^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 8) m^{3}

Subtract the numbers

- 7 m^{3}

- 7 m^{3} - 2

Show Solution

Find the roots

m = - \frac{3 98}{7}

Alternative Form

m \approx - 0.658634

Evaluate

m^{3} - 2 - 0 - 0 - 8 m^{3}

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

m^{3} - 2 - 0 - 0 - 8 m^{3} = 0

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

m^{3} - 2 - 0 - 8 m^{3} = 0

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

m^{3} - 2 - 8 m^{3} = 0

Subtract the terms

More Steps

Simplify

m^{3} - 2 - 8 m^{3}

Subtract the terms

More Steps

Evaluate

m^{3} - 8 m^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 8) m^{3}

Subtract the numbers

- 7 m^{3}

- 7 m^{3} - 2

- 7 m^{3} - 2 = 0

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

- 7 m^{3} = 0 + 2

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

- 7 m^{3} = 2

Change the signs on both sides of the equation

7 m^{3} = - 2

Divide both sides

\frac{7 m ^{3}}{7} = \frac{- 2}{7}

Divide the numbers

m^{3} = \frac{- 2}{7}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

m^{3} = - \frac{2}{7}

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

3 m^{3} = 3 - \frac{2}{7}

Calculate

m = 3 - \frac{2}{7}

Solution

More Steps

Evaluate

3 - \frac{2}{7}

An odd root of a negative radicand is always a negative

- 3 \frac{2}{7}

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

- \frac{3 2}{3 7}

Multiply by the Conjugate

\frac{- 3 2 \times 3 7 ^{2}}{3 7 \times 3 7 ^{2}}

Simplify

\frac{- 3 2 \times 3 49}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

- 32 \times 349

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

- 3 2 \times 49

Calculate the product

- 398

\frac{- 3 98}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 3 7^{2}

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

3 7 \times 7^{2}

Calculate the product

3 7^{3}

Reduce the index of the radical and exponent with 3

7

\frac{- 3 98}{7}

Calculate

- \frac{3 98}{7}

m = - \frac{3 98}{7}

Alternative Form

m \approx - 0.658634

Show Solution