Solve ( - 2x^3-2x^2-5x-3)-( - 4x^3-5x^29x 1)

Question

Simplify the expression

47 x^{3} - 2 x^{2} - 5 x - 3

Evaluate

(- 2 x^{3} - 2 x^{2} - 5 x - 3) - (- 4 x^{3} - 5 x^{2} \times 9 x \times 1)

Remove the parentheses

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 4 x^{3} - 5 x^{2} \times 9 x \times 1)

Multiply the terms

More Steps

Multiply the terms

- 5 x^{2} \times 9 x \times 1

Rewrite the expression

- 5 x^{2} \times 9 x

Multiply the terms

- 45 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 45 x^{2 + 1}

Add the numbers

- 45 x^{3}

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 4 x^{3} - 45 x^{3})

Subtract the terms

More Steps

Evaluate

- 4 x^{3} - 45 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 45) x^{3}

Subtract the numbers

- 49 x^{3}

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 49 x^{3})

Rewrite the expression

- 2 x^{3} - 2 x^{2} - 5 x - 3 + 49 x^{3}

Solution

More Steps

Evaluate

- 2 x^{3} + 49 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(- 2 + 49) x^{3}

Add the numbers

47 x^{3}

47 x^{3} - 2 x^{2} - 5 x - 3

Show Solution

Find the roots

x \approx 0.504378

Evaluate

(- 2 x^{3} - 2 x^{2} - 5 x - 3) - (- 4 x^{3} - 5 x^{2} \times 9 x \times 1)

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

(- 2 x^{3} - 2 x^{2} - 5 x - 3) - (- 4 x^{3} - 5 x^{2} \times 9 x \times 1) = 0

Remove the parentheses

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 4 x^{3} - 5 x^{2} \times 9 x \times 1) = 0

Multiply the terms

More Steps

Multiply the terms

5 x^{2} \times 9 x \times 1

Rewrite the expression

5 x^{2} \times 9 x

Multiply the terms

45 x^{2} \times x

Multiply the terms with the same base by adding their exponents

45 x^{2 + 1}

Add the numbers

45 x^{3}

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 4 x^{3} - 45 x^{3}) = 0

Subtract the terms

More Steps

Simplify

- 4 x^{3} - 45 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 45) x^{3}

Subtract the numbers

- 49 x^{3}

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 49 x^{3}) = 0

Subtract the terms

More Steps

Simplify

- 2 x^{3} - 2 x^{2} - 5 x - 3 - (- 49 x^{3})

Rewrite the expression

- 2 x^{3} - 2 x^{2} - 5 x - 3 + 49 x^{3}

Add the terms

More Steps

Evaluate

- 2 x^{3} + 49 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(- 2 + 49) x^{3}

Add the numbers

47 x^{3}

47 x^{3} - 2 x^{2} - 5 x - 3

47 x^{3} - 2 x^{2} - 5 x - 3 = 0

Solution

x \approx 0.504378

Show Solution