Solve 10/50 25 x^3 - 3/4

Question

Simplify the expression

5 x^{3} - \frac{3}{4}

Evaluate

\frac{10}{50} \times 25 x^{3} - \frac{3}{4}

Cancel out the common factor 10

\frac{1}{5} \times 25 x^{3} - \frac{3}{4}

Solution

More Steps

Multiply the terms

\frac{1}{5} \times 25 x^{3}

Multiply the terms

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Evaluate

\frac{1}{5} \times 25

Reduce the numbers

1 \times 5

Simplify

5

5 x^{3}

5 x^{3} - \frac{3}{4}

Show Solution

Factor the expression

\frac{1}{4} (20 x^{3} - 3)

Evaluate

\frac{10}{50} \times 25 x^{3} - \frac{3}{4}

Cancel out the common factor 10

\frac{1}{5} \times 25 x^{3} - \frac{3}{4}

Multiply the terms

More Steps

Multiply the terms

\frac{1}{5} \times 25 x^{3}

Multiply the terms

More Steps

Evaluate

\frac{1}{5} \times 25

Reduce the numbers

1 \times 5

Simplify

5

5 x^{3}

5 x^{3} - \frac{3}{4}

Solution

\frac{1}{4} (20 x^{3} - 3)

Show Solution

Find the roots

x = \frac{3 150}{10}

Alternative Form

x \approx 0.531329

Evaluate

\frac{10}{50} \times 25 x^{3} - \frac{3}{4}

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

\frac{10}{50} \times 25 x^{3} - \frac{3}{4} = 0

Cancel out the common factor 10

\frac{1}{5} \times 25 x^{3} - \frac{3}{4} = 0

Multiply the terms

More Steps

Multiply the terms

\frac{1}{5} \times 25 x^{3}

Multiply the terms

More Steps

Evaluate

\frac{1}{5} \times 25

Reduce the numbers

1 \times 5

Simplify

5

5 x^{3}

5 x^{3} - \frac{3}{4} = 0

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

5 x^{3} = 0 + \frac{3}{4}

Add the terms

5 x^{3} = \frac{3}{4}

Multiply by the reciprocal

5 x^{3} \times \frac{1}{5} = \frac{3}{4} \times \frac{1}{5}

Multiply

x^{3} = \frac{3}{4} \times \frac{1}{5}

Multiply

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Evaluate

\frac{3}{4} \times \frac{1}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{4 \times 5}

Multiply the numbers

\frac{3}{20}

x^{3} = \frac{3}{20}

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

3 x^{3} = 3 \frac{3}{20}

Calculate

x = 3 \frac{3}{20}

Solution

More Steps

Evaluate

3 \frac{3}{20}

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

\frac{3 3}{3 20}

Multiply by the Conjugate

\frac{3 3 \times 3 2 0 ^{2}}{3 20 \times 3 2 0 ^{2}}

Simplify

\frac{3 3 \times 2 3 50}{3 20 \times 3 2 0 ^{2}}

Multiply the numbers

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Evaluate

33 \times 2350

Multiply the terms

3150 \times 2

Use the commutative property to reorder the terms

23150

\frac{2 3 150}{3 20 \times 3 2 0 ^{2}}

Multiply the numbers

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Evaluate

320 \times 3 2 0^{2}

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

3 20 \times 2 0^{2}

Calculate the product

3 2 0^{3}

Reduce the index of the radical and exponent with 3

20

\frac{2 3 150}{20}

Cancel out the common factor 2

\frac{3 150}{10}

x = \frac{3 150}{10}

Alternative Form

x \approx 0.531329

Show Solution