Solve 15x^210x-9 - ScanMath

Question

Simplify the expression

Solution

150 x^{3} - 9

Evaluate

15 x^{2} \times 10 x - 9

Solution

More Steps

Evaluate

15 x^{2} \times 10 x

Multiply the terms

150 x^{2} \times x

Multiply the terms with the same base by adding their exponents

150 x^{2 + 1}

Add the numbers

150 x^{3}

150 x^{3} - 9

Show Solution

Factor the expression

Factor

3 (50 x^{3} - 3)

Evaluate

15 x^{2} \times 10 x - 9

Multiply

More Steps

Evaluate

15 x^{2} \times 10 x

Multiply the terms

150 x^{2} \times x

Multiply the terms with the same base by adding their exponents

150 x^{2 + 1}

Add the numbers

150 x^{3}

150 x^{3} - 9

Solution

3 (50 x^{3} - 3)

Show Solution

Find the roots

Find the roots of the algebra expression

x = \frac{3 60}{10}

Alternative Form

x \approx 0.391487

Evaluate

15 x^{2} \times 10 x - 9

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

15 x^{2} \times 10 x - 9 = 0

Multiply

More Steps

Multiply the terms

15 x^{2} \times 10 x

Multiply the terms

150 x^{2} \times x

Multiply the terms with the same base by adding their exponents

150 x^{2 + 1}

Add the numbers

150 x^{3}

150 x^{3} - 9 = 0

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

150 x^{3} = 0 + 9

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

150 x^{3} = 9

Divide both sides

\frac{150 x ^{3}}{150} = \frac{9}{150}

Divide the numbers

x^{3} = \frac{9}{150}

Cancel out the common factor 3

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

15x^210x 9

Simplify the expression

Factor the expression

Find the roots