Solve -2j 10j^2-8j^27j^2-8

Question

Simplify the expression

- 20 j^{3} - 56 j^{4} - 8

Evaluate

- 2 j \times 10 j^{2} - 8 j^{2} \times 7 j^{2} - 8

Multiply

More Steps

Multiply the terms

- 2 j \times 10 j^{2}

Multiply the terms

- 20 j \times j^{2}

Multiply the terms with the same base by adding their exponents

- 20 j^{1 + 2}

Add the numbers

- 20 j^{3}

- 20 j^{3} - 8 j^{2} \times 7 j^{2} - 8

Solution

More Steps

Multiply the terms

- 8 j^{2} \times 7 j^{2}

Multiply the terms

- 56 j^{2} \times j^{2}

Multiply the terms with the same base by adding their exponents

- 56 j^{2 + 2}

Add the numbers

- 56 j^{4}

- 20 j^{3} - 56 j^{4} - 8

Show Solution

Factor the expression

- 4 (5 j^{3} + 14 j^{4} + 2)

Evaluate

- 2 j \times 10 j^{2} - 8 j^{2} \times 7 j^{2} - 8

Multiply

More Steps

Multiply the terms

- 2 j \times 10 j^{2}

Multiply the terms

- 20 j \times j^{2}

Multiply the terms with the same base by adding their exponents

- 20 j^{1 + 2}

Add the numbers

- 20 j^{3}

- 20 j^{3} - 8 j^{2} \times 7 j^{2} - 8

Multiply

More Steps

Multiply the terms

8 j^{2} \times 7 j^{2}

Multiply the terms

56 j^{2} \times j^{2}

Multiply the terms with the same base by adding their exponents

56 j^{2 + 2}

Add the numbers

56 j^{4}

- 20 j^{3} - 56 j^{4} - 8

Solution

- 4 (5 j^{3} + 14 j^{4} + 2)

Show Solution

Find the roots

j \in / R

Evaluate

- 2 j \times 10 j^{2} - 8 j^{2} \times 7 j^{2} - 8

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

- 2 j \times 10 j^{2} - 8 j^{2} \times 7 j^{2} - 8 = 0

Multiply

More Steps

Multiply the terms

- 2 j \times 10 j^{2}

Multiply the terms

- 20 j \times j^{2}

Multiply the terms with the same base by adding their exponents

- 20 j^{1 + 2}

Add the numbers

- 20 j^{3}

- 20 j^{3} - 8 j^{2} \times 7 j^{2} - 8 = 0

Multiply

More Steps

Multiply the terms

8 j^{2} \times 7 j^{2}

Multiply the terms

56 j^{2} \times j^{2}

Multiply the terms with the same base by adding their exponents

56 j^{2 + 2}

Add the numbers

56 j^{4}

- 20 j^{3} - 56 j^{4} - 8 = 0

Factor the expression

- 4 (5 j^{3} + 14 j^{4} + 2) = 0

Divide both sides

5 j^{3} + 14 j^{4} + 2 = 0

Solution

j \in / R

Show Solution