Solve 114-606338x^32

Question

Simplify the expression

114 - 1212676 x^{3}

Evaluate

114 - 606338 x^{3} \times 2

Solution

114 - 1212676 x^{3}

Show Solution

2 (57 - 606338 x^{3})

Evaluate

114 - 606338 x^{3} \times 2

Multiply the terms

114 - 1212676 x^{3}

Solution

2 (57 - 606338 x^{3})

Show Solution

x = \frac{3 57 \times 60633 8 ^{2}}{606338}

Alternative Form

x \approx 0.045469

Evaluate

114 - 606338 x^{3} \times 2

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

114 - 606338 x^{3} \times 2 = 0

Multiply the terms

114 - 1212676 x^{3} = 0

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

- 1212676 x^{3} = 0 - 114

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

- 1212676 x^{3} = - 114

Change the signs on both sides of the equation

1212676 x^{3} = 114

Divide both sides

\frac{1212676 x ^{3}}{1212676} = \frac{114}{1212676}

Divide the numbers

x^{3} = \frac{114}{1212676}

Cancel out the common factor 2

x^{3} = \frac{57}{606338}

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

3 x^{3} = 3 \frac{57}{606338}

Calculate

x = 3 \frac{57}{606338}

Solution

More Steps

Evaluate

3 \frac{57}{606338}

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

\frac{3 57}{3 606338}

Multiply by the Conjugate

\frac{3 57 \times 3 60633 8 ^{2}}{3 606338 \times 3 60633 8 ^{2}}

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

\frac{3 57 \times 60633 8 ^{2}}{3 606338 \times 3 60633 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

3606338 \times 3 60633 8^{2}

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

3 606338 \times 60633 8^{2}

Calculate the product

3 60633 8^{3}

Reduce the index of the radical and exponent with 3

606338

\frac{3 57 \times 60633 8 ^{2}}{606338}

x = \frac{3 57 \times 60633 8 ^{2}}{606338}

Alternative Form

x \approx 0.045469

Show Solution