Solve (270/5)*x18 (220/38)*x100 (220/38)*x10090x^2

Question

Simplify the expression

\frac{11867050800000}{361} x^{5}

Evaluate

(\frac{270}{5}) x \times 18 (\frac{220}{38}) x \times 100 (\frac{220}{38}) x \times 10090 x^{2}

Rewrite the expression in exponential form

(\frac{270}{5}) x^{3} \times 18 (\frac{220}{38}) \times 100 (\frac{220}{38}) \times 10090 x^{2}

Divide the terms

More Steps

Evaluate

\frac{270}{5}

Reduce the numbers

\frac{54}{1}

Calculate

54

54 x^{3} \times 18 (\frac{220}{38}) \times 100 (\frac{220}{38}) \times 10090 x^{2}

Cancel out the common factor 2

54 x^{3} \times 18 \times \frac{110}{19} \times 100 (\frac{220}{38}) \times 10090 x^{2}

Cancel out the common factor 2

54 x^{3} \times 18 \times \frac{110}{19} \times 100 \times \frac{110}{19} \times 10090 x^{2}

Multiply the terms

More Steps

Evaluate

54 \times 18 \times \frac{110}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

972 \times \frac{110}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

More Steps

Evaluate

972 \times \frac{110}{19}

Multiply the numbers

\frac{972 \times 110}{19}

Multiply the numbers

\frac{106920}{19}

\frac{106920}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

More Steps

Evaluate

\frac{106920}{19} \times 100

Multiply the numbers

\frac{106920 \times 100}{19}

Multiply the numbers

\frac{10692000}{19}

\frac{10692000}{19} \times \frac{110}{19} \times 10090

Multiply the terms

More Steps

Evaluate

\frac{10692000}{19} \times \frac{110}{19}

To multiply the fractions,multiply the numerators and denominators separately

\frac{10692000 \times 110}{19 \times 19}

Multiply the numbers

\frac{1176120000}{19 \times 19}

Multiply the numbers

\frac{1176120000}{361}

\frac{1176120000}{361} \times 10090

Multiply the numbers

\frac{1176120000 \times 10090}{361}

Multiply the numbers

\frac{11867050800000}{361}

\frac{11867050800000}{361} x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{11867050800000}{361} x^{3 + 2}

Solution

\frac{11867050800000}{361} x^{5}

Show Solution

Find the roots

x = 0

Evaluate

(\frac{270}{5}) x \times 18 (\frac{220}{38}) x \times 100 (\frac{220}{38}) x \times 10090 x^{2}

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

(\frac{270}{5}) x \times 18 (\frac{220}{38}) x \times 100 (\frac{220}{38}) x \times 10090 x^{2} = 0

Divide the terms

More Steps

Evaluate

\frac{270}{5}

Reduce the numbers

\frac{54}{1}

Calculate

54

54 x \times 18 (\frac{220}{38}) x \times 100 (\frac{220}{38}) x \times 10090 x^{2} = 0

Cancel out the common factor 2

54 x \times 18 \times \frac{110}{19} x \times 100 (\frac{220}{38}) x \times 10090 x^{2} = 0

Cancel out the common factor 2

54 x \times 18 \times \frac{110}{19} x \times 100 \times \frac{110}{19} x \times 10090 x^{2} = 0

Multiply

More Steps

Multiply the terms

54 x \times 18 \times \frac{110}{19} x \times 100 \times \frac{110}{19} x \times 10090 x^{2}

Multiply the terms

More Steps

Evaluate

54 \times 18 \times \frac{110}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

972 \times \frac{110}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

\frac{106920}{19} \times 100 \times \frac{110}{19} \times 10090

Multiply the terms

\frac{10692000}{19} \times \frac{110}{19} \times 10090

Multiply the terms

\frac{1176120000}{361} \times 10090

Multiply the numbers

\frac{1176120000 \times 10090}{361}

Multiply the numbers

\frac{11867050800000}{361}

\frac{11867050800000}{361} x \times x \times x \times x^{2}

Multiply the terms with the same base by adding their exponents

\frac{11867050800000}{361} x^{1 + 2} \times x \times x

Add the numbers

\frac{11867050800000}{361} x^{3} \times x \times x

Multiply the terms with the same base by adding their exponents

\frac{11867050800000}{361} x^{1 + 3 + 1}

Add the numbers

\frac{11867050800000}{361} x^{5}

\frac{11867050800000}{361} x^{5} = 0

Rewrite the expression

x^{5} = 0

Solution

x = 0

Show Solution