Solve 2+6x^3 - ScanMath

Question

Factor the expression

Factor

2 (1 + 3 x^{3})

Evaluate

2 + 6 x^{3}

Solution

2 (1 + 3 x^{3})

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Find the roots of the algebra expression

x = - \frac{3 9}{3}

Alternative Form

x \approx - 0.693361

Evaluate

2 + 6 x^{3}

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

2 + 6 x^{3} = 0

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

6 x^{3} = 0 - 2

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

6 x^{3} = - 2

Divide both sides

\frac{6 x ^{3}}{6} = \frac{- 2}{6}

Divide the numbers

x^{3} = \frac{- 2}{6}

Divide the numbers

More Steps

Evaluate

\frac{- 2}{6}

Cancel out the common factor 2

\frac{- 1}{3}

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

- \frac{1}{3}

x^{3} = - \frac{1}{3}

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

3 x^{3} = 3 - \frac{1}{3}

Calculate

x = 3 - \frac{1}{3}

Solution

More Steps

Evaluate

3 - \frac{1}{3}

An odd root of a negative radicand is always a negative

- 3 \frac{1}{3}

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

- \frac{3 1}{3 3}

Simplify the radical expression

- \frac{1}{3 3}

Rewrite the expression

\frac{- 1}{3 3}

Multiply by the Conjugate

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

Simplify

\frac{- 3 9}{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 9}{3}

Calculate

- \frac{3 9}{3}

x = - \frac{3 9}{3}

Alternative Form

x \approx - 0.693361

Show Solution