Solve -(12)/26x^3-4

Question

Simplify the expression

- \frac{6}{13} x^{3} - 4

Evaluate

- \frac{12}{26} x^{3} - 4

Solution

- \frac{6}{13} x^{3} - 4

Show Solution

- \frac{2}{13} (3 x^{3} + 26)

Evaluate

- \frac{12}{26} x^{3} - 4

Cancel out the common factor 2

- \frac{6}{13} x^{3} - 4

Solution

- \frac{2}{13} (3 x^{3} + 26)

Show Solution

x = - \frac{3 234}{3}

Alternative Form

x \approx - 2.05408

Evaluate

- \frac{12}{26} x^{3} - 4

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

- \frac{12}{26} x^{3} - 4 = 0

Cancel out the common factor 2

- \frac{6}{13} x^{3} - 4 = 0

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

- \frac{6}{13} x^{3} = 0 + 4

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

- \frac{6}{13} x^{3} = 4

Change the signs on both sides of the equation

\frac{6}{13} x^{3} = - 4

Multiply by the reciprocal

\frac{6}{13} x^{3} \times \frac{13}{6} = - 4 \times \frac{13}{6}

Multiply

x^{3} = - 4 \times \frac{13}{6}

Multiply

More Steps

Evaluate

- 4 \times \frac{13}{6}

Reduce the numbers

- 2 \times \frac{13}{3}

Multiply the numbers

- \frac{2 \times 13}{3}

Multiply the numbers

- \frac{26}{3}

x^{3} = - \frac{26}{3}

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

3 x^{3} = 3 - \frac{26}{3}

Calculate

x = 3 - \frac{26}{3}

Solution

More Steps

Evaluate

3 - \frac{26}{3}

An odd root of a negative radicand is always a negative

- 3 \frac{26}{3}

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

- \frac{3 26}{3 3}

Multiply by the Conjugate

\frac{- 3 26 \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{- 3 26 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

- 326 \times 39

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

- 3 26 \times 9

Calculate the product

- 3234

\frac{- 3 234}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{- 3 234}{3}

Calculate

- \frac{3 234}{3}

x = - \frac{3 234}{3}

Alternative Form

x \approx - 2.05408

Show Solution