Solve (-5q^2 6q 7) -(-q^2 4q)

Question

Simplify the expression

- 206 q^{3}

Evaluate

(- 5 q^{2} \times 6 q \times 7) - (- q^{2} \times 4 q)

Multiply

More Steps

Multiply the terms

- 5 q^{2} \times 6 q \times 7

Multiply the terms

More Steps

Evaluate

5 \times 6 \times 7

Multiply the terms

30 \times 7

Multiply the numbers

210

- 210 q^{2} \times q

Multiply the terms with the same base by adding their exponents

- 210 q^{2 + 1}

Add the numbers

- 210 q^{3}

(- 210 q^{3}) - (- q^{2} \times 4 q)

Remove the parentheses

- 210 q^{3} - (- q^{2} \times 4 q)

Multiply

More Steps

Multiply the terms

- q^{2} \times 4 q

Multiply the terms with the same base by adding their exponents

- q^{2 + 1} \times 4

Add the numbers

- q^{3} \times 4

Use the commutative property to reorder the terms

- 4 q^{3}

- 210 q^{3} - (- 4 q^{3})

Rewrite the expression

- 210 q^{3} + 4 q^{3}

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

(- 210 + 4) q^{3}

Solution

- 206 q^{3}

Show Solution

Find the roots

q = 0

Evaluate

(- 5 q^{2} \times 6 q \times 7) - (- q^{2} \times 4 q)

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

(- 5 q^{2} \times 6 q \times 7) - (- q^{2} \times 4 q) = 0

Multiply

More Steps

Multiply the terms

- 5 q^{2} \times 6 q \times 7

Multiply the terms

More Steps

Evaluate

5 \times 6 \times 7

Multiply the terms

30 \times 7

Multiply the numbers

210

- 210 q^{2} \times q

Multiply the terms with the same base by adding their exponents

- 210 q^{2 + 1}

Add the numbers

- 210 q^{3}

(- 210 q^{3}) - (- q^{2} \times 4 q) = 0

Remove the parentheses

- 210 q^{3} - (- q^{2} \times 4 q) = 0

Multiply

More Steps

Multiply the terms

q^{2} \times 4 q

Multiply the terms with the same base by adding their exponents

q^{2 + 1} \times 4

Add the numbers

q^{3} \times 4

Use the commutative property to reorder the terms

4 q^{3}

- 210 q^{3} - (- 4 q^{3}) = 0

Subtract the terms

More Steps

Simplify

- 210 q^{3} - (- 4 q^{3})

Rewrite the expression

- 210 q^{3} + 4 q^{3}

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

(- 210 + 4) q^{3}

Add the numbers

- 206 q^{3}

- 206 q^{3} = 0

Change the signs on both sides of the equation

206 q^{3} = 0

Rewrite the expression

q^{3} = 0

Solution

q = 0

Show Solution