Solve 114-569238x^32

Question

Simplify the expression

114 - 1138476 x^{3}

Evaluate

114 - 569238 x^{3} \times 2

Solution

114 - 1138476 x^{3}

Show Solution

6 (19 - 189746 x^{3})

Evaluate

114 - 569238 x^{3} \times 2

Multiply the terms

114 - 1138476 x^{3}

Solution

6 (19 - 189746 x^{3})

Show Solution

x = \frac{3 19 \times 18974 6 ^{2}}{189746}

Alternative Form

x \approx 0.046437

Evaluate

114 - 569238 x^{3} \times 2

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

114 - 569238 x^{3} \times 2 = 0

Multiply the terms

114 - 1138476 x^{3} = 0

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

- 1138476 x^{3} = 0 - 114

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

- 1138476 x^{3} = - 114

Change the signs on both sides of the equation

1138476 x^{3} = 114

Divide both sides

\frac{1138476 x ^{3}}{1138476} = \frac{114}{1138476}

Divide the numbers

x^{3} = \frac{114}{1138476}

Cancel out the common factor 6

x^{3} = \frac{19}{189746}

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

3 x^{3} = 3 \frac{19}{189746}

Calculate

x = 3 \frac{19}{189746}

Solution

More Steps

Evaluate

3 \frac{19}{189746}

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

\frac{3 19}{3 189746}

Multiply by the Conjugate

\frac{3 19 \times 3 18974 6 ^{2}}{3 189746 \times 3 18974 6 ^{2}}

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

\frac{3 19 \times 18974 6 ^{2}}{3 189746 \times 3 18974 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3189746 \times 3 18974 6^{2}

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

3 189746 \times 18974 6^{2}

Calculate the product

3 18974 6^{3}

Reduce the index of the radical and exponent with 3

189746

\frac{3 19 \times 18974 6 ^{2}}{189746}

x = \frac{3 19 \times 18974 6 ^{2}}{189746}

Alternative Form

x \approx 0.046437

Show Solution