Solve 114-606392838x^32

Question

Simplify the expression

114 - 1212785676 x^{3}

Evaluate

114 - 606392838 x^{3} \times 2

Solution

114 - 1212785676 x^{3}

Show Solution

6 (19 - 202130946 x^{3})

Evaluate

114 - 606392838 x^{3} \times 2

Multiply the terms

114 - 1212785676 x^{3}

Solution

6 (19 - 202130946 x^{3})

Show Solution

x = \frac{3 19 \times 20213094 6 ^{2}}{202130946}

Alternative Form

x \approx 0.004547

Evaluate

114 - 606392838 x^{3} \times 2

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

114 - 606392838 x^{3} \times 2 = 0

Multiply the terms

114 - 1212785676 x^{3} = 0

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

- 1212785676 x^{3} = 0 - 114

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

- 1212785676 x^{3} = - 114

Change the signs on both sides of the equation

1212785676 x^{3} = 114

Divide both sides

\frac{1212785676 x ^{3}}{1212785676} = \frac{114}{1212785676}

Divide the numbers

x^{3} = \frac{114}{1212785676}

Cancel out the common factor 6

x^{3} = \frac{19}{202130946}

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

3 x^{3} = 3 \frac{19}{202130946}

Calculate

x = 3 \frac{19}{202130946}

Solution

More Steps

Evaluate

3 \frac{19}{202130946}

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

\frac{3 19}{3 202130946}

Multiply by the Conjugate

\frac{3 19 \times 3 20213094 6 ^{2}}{3 202130946 \times 3 20213094 6 ^{2}}

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

\frac{3 19 \times 20213094 6 ^{2}}{3 202130946 \times 3 20213094 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3202130946 \times 3 20213094 6^{2}

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

3 202130946 \times 20213094 6^{2}

Calculate the product

3 20213094 6^{3}

Reduce the index of the radical and exponent with 3

202130946

\frac{3 19 \times 20213094 6 ^{2}}{202130946}

x = \frac{3 19 \times 20213094 6 ^{2}}{202130946}

Alternative Form

x \approx 0.004547

Show Solution