Solve 20x^2 25x-30

Question

Simplify the expression

500 x^{3} - 30

Evaluate

20 x^{2} \times 25 x - 30

Solution

More Steps

Evaluate

20 x^{2} \times 25 x

Multiply the terms

500 x^{2} \times x

Multiply the terms with the same base by adding their exponents

500 x^{2 + 1}

Add the numbers

500 x^{3}

500 x^{3} - 30

Show Solution

Factor the expression

10 (50 x^{3} - 3)

Evaluate

20 x^{2} \times 25 x - 30

Multiply

More Steps

Evaluate

20 x^{2} \times 25 x

Multiply the terms

500 x^{2} \times x

Multiply the terms with the same base by adding their exponents

500 x^{2 + 1}

Add the numbers

500 x^{3}

500 x^{3} - 30

Solution

10 (50 x^{3} - 3)

Show Solution

Find the roots

x = \frac{3 60}{10}

Alternative Form

x \approx 0.391487

Evaluate

20 x^{2} \times 25 x - 30

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

20 x^{2} \times 25 x - 30 = 0

Multiply

More Steps

Multiply the terms

20 x^{2} \times 25 x

Multiply the terms

500 x^{2} \times x

Multiply the terms with the same base by adding their exponents

500 x^{2 + 1}

Add the numbers

500 x^{3}

500 x^{3} - 30 = 0

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

500 x^{3} = 0 + 30

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

500 x^{3} = 30

Divide both sides

\frac{500 x ^{3}}{500} = \frac{30}{500}

Divide the numbers

x^{3} = \frac{30}{500}

Cancel out the common factor 10

x^{3} = \frac{3}{50}

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

3 x^{3} = 3 \frac{3}{50}

Calculate

x = 3 \frac{3}{50}

Solution

More Steps

Evaluate

3 \frac{3}{50}

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

\frac{3 3}{3 50}

Multiply by the Conjugate

\frac{3 3 \times 3 5 0 ^{2}}{3 50 \times 3 5 0 ^{2}}

Simplify

\frac{3 3 \times 5 3 20}{3 50 \times 3 5 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 5320

Multiply the terms

360 \times 5

Use the commutative property to reorder the terms

5360

\frac{5 3 60}{3 50 \times 3 5 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

350 \times 3 5 0^{2}

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

3 50 \times 5 0^{2}

Calculate the product

3 5 0^{3}

Reduce the index of the radical and exponent with 3

50

\frac{5 3 60}{50}

Cancel out the common factor 5

\frac{3 60}{10}

x = \frac{3 60}{10}

Alternative Form

x \approx 0.391487

Show Solution