Solve (2x^3+5x-16)+(4x^3-10x^2-2x)

Question

Simplify the expression

6 x^{3} + 3 x - 16 - 10 x^{2}

Evaluate

(2 x^{3} + 5 x - 16) + (4 x^{3} - 10 x^{2} - 2 x)

Remove the parentheses

2 x^{3} + 5 x - 16 + (4 x^{3} - 10 x^{2} - 2 x)

Remove the parentheses

2 x^{3} + 5 x - 16 + 4 x^{3} - 10 x^{2} - 2 x

Add the terms

More Steps

Evaluate

2 x^{3} + 4 x^{3}

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

(2 + 4) x^{3}

Add the numbers

6 x^{3}

6 x^{3} + 5 x - 16 - 10 x^{2} - 2 x

Solution

More Steps

Evaluate

5 x - 2 x

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

(5 - 2) x

Subtract the numbers

3 x

6 x^{3} + 3 x - 16 - 10 x^{2}

Show Solution

x \approx 2.054877

Evaluate

(2 x^{3} + 5 x - 16) + (4 x^{3} - 10 x^{2} - 2 x)

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

(2 x^{3} + 5 x - 16) + (4 x^{3} - 10 x^{2} - 2 x) = 0

Remove the parentheses

2 x^{3} + 5 x - 16 + (4 x^{3} - 10 x^{2} - 2 x) = 0

Remove the parentheses

2 x^{3} + 5 x - 16 + 4 x^{3} - 10 x^{2} - 2 x = 0

Calculate the sum or difference

More Steps

Evaluate

2 x^{3} + 5 x - 16 + 4 x^{3} - 10 x^{2} - 2 x

Add the terms

More Steps

Evaluate

2 x^{3} + 4 x^{3}

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

(2 + 4) x^{3}

Add the numbers

6 x^{3}

6 x^{3} + 5 x - 16 - 10 x^{2} - 2 x

Subtract the terms

More Steps

Evaluate

5 x - 2 x

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

(5 - 2) x

Subtract the numbers

3 x

6 x^{3} + 3 x - 16 - 10 x^{2}

6 x^{3} + 3 x - 16 - 10 x^{2} = 0

Solution

x \approx 2.054877

Show Solution