Solve x^22x-3x-42x^25x-3x^2-16

Question

Simplify the expression

- 208 x^{3} - 3 x - 3 x^{2} - 16

Evaluate

x^{2} \times 2 x - 3 x - 42 x^{2} \times 5 x - 3 x^{2} - 16

Multiply

More Steps

Multiply the terms

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 3 x - 42 x^{2} \times 5 x - 3 x^{2} - 16

Multiply

More Steps

Multiply the terms

- 42 x^{2} \times 5 x

Multiply the terms

- 210 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 210 x^{2 + 1}

Add the numbers

- 210 x^{3}

2 x^{3} - 3 x - 210 x^{3} - 3 x^{2} - 16

Solution

More Steps

Evaluate

2 x^{3} - 210 x^{3}

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

(2 - 210) x^{3}

Subtract the numbers

- 208 x^{3}

- 208 x^{3} - 3 x - 3 x^{2} - 16

Show Solution

x \approx - 0.41872

Evaluate

x^{2} \times 2 x - 3 x - 42 x^{2} \times 5 x - 3 x^{2} - 16

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

x^{2} \times 2 x - 3 x - 42 x^{2} \times 5 x - 3 x^{2} - 16 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 3 x - 42 x^{2} \times 5 x - 3 x^{2} - 16 = 0

Multiply

More Steps

Multiply the terms

42 x^{2} \times 5 x

Multiply the terms

210 x^{2} \times x

Multiply the terms with the same base by adding their exponents

210 x^{2 + 1}

Add the numbers

210 x^{3}

2 x^{3} - 3 x - 210 x^{3} - 3 x^{2} - 16 = 0

Subtract the terms

More Steps

Simplify

2 x^{3} - 3 x - 210 x^{3}

Subtract the terms

More Steps

Evaluate

2 x^{3} - 210 x^{3}

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

(2 - 210) x^{3}

Subtract the numbers

- 208 x^{3}

- 208 x^{3} - 3 x

- 208 x^{3} - 3 x - 3 x^{2} - 16 = 0

Factor the expression

- (208 x^{3} + 3 x + 3 x^{2} + 16) = 0

Divide both sides

208 x^{3} + 3 x + 3 x^{2} + 16 = 0

Solution

x \approx - 0.41872

Show Solution