Solve 14-2x^33 - ScanMath

Question

Simplify the expression

14 - 6 x^{3}

Evaluate

14 - 2 x^{3} \times 3

Solution

14 - 6 x^{3}

Show Solution

2 (7 - 3 x^{3})

Evaluate

14 - 2 x^{3} \times 3

Multiply the terms

14 - 6 x^{3}

Solution

2 (7 - 3 x^{3})

Show Solution

x = \frac{3 63}{3}

Alternative Form

x \approx 1.326352

Evaluate

14 - 2 x^{3} \times 3

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

14 - 2 x^{3} \times 3 = 0

Multiply the terms

14 - 6 x^{3} = 0

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

- 6 x^{3} = 0 - 14

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

- 6 x^{3} = - 14

Change the signs on both sides of the equation

6 x^{3} = 14

Divide both sides

\frac{6 x ^{3}}{6} = \frac{14}{6}

Divide the numbers

x^{3} = \frac{14}{6}

Cancel out the common factor 2

x^{3} = \frac{7}{3}

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

3 x^{3} = 3 \frac{7}{3}

Calculate

x = 3 \frac{7}{3}

Solution

More Steps

Evaluate

3 \frac{7}{3}

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

\frac{3 7}{3 3}

Multiply by the Conjugate

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

Simplify

\frac{3 7 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 39

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

3 7 \times 9

Calculate the product

363

\frac{3 63}{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 63}{3}

x = \frac{3 63}{3}

Alternative Form

x \approx 1.326352

Show Solution