Solve (-7c^25c^3) - (6c - c^27)

Question

Simplify the expression

- 35 c^{5} - 6 c + 7 c^{2}

Evaluate

(- 7 c^{2} \times 5 c^{3}) - (6 c - c^{2} \times 7)

Multiply

More Steps

Multiply the terms

- 7 c^{2} \times 5 c^{3}

Multiply the terms

- 35 c^{2} \times c^{3}

Multiply the terms with the same base by adding their exponents

- 35 c^{2 + 3}

Add the numbers

- 35 c^{5}

(- 35 c^{5}) - (6 c - c^{2} \times 7)

Remove the parentheses

- 35 c^{5} - (6 c - c^{2} \times 7)

Use the commutative property to reorder the terms

- 35 c^{5} - (6 c - 7 c^{2})

Solution

- 35 c^{5} - 6 c + 7 c^{2}

Show Solution

Factor the expression

- c (35 c^{4} + 6 - 7 c)

Evaluate

(- 7 c^{2} \times 5 c^{3}) - (6 c - c^{2} \times 7)

Multiply

More Steps

Multiply the terms

- 7 c^{2} \times 5 c^{3}

Multiply the terms

- 35 c^{2} \times c^{3}

Multiply the terms with the same base by adding their exponents

- 35 c^{2 + 3}

Add the numbers

- 35 c^{5}

- 35 c^{5} - (6 c - c^{2} \times 7)

Use the commutative property to reorder the terms

- 35 c^{5} - (6 c - 7 c^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 35 c^{5} - 6 c + 7 c^{2}

Rewrite the expression

- c \times 35 c^{4} - c \times 6 + c \times 7 c

Solution

- c (35 c^{4} + 6 - 7 c)

Show Solution

Find the roots

c = 0

Evaluate

(- 7 c^{2} \times 5 c^{3}) - (6 c - c^{2} \times 7)

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

(- 7 c^{2} \times 5 c^{3}) - (6 c - c^{2} \times 7) = 0

Multiply

More Steps

Multiply the terms

- 7 c^{2} \times 5 c^{3}

Multiply the terms

- 35 c^{2} \times c^{3}

Multiply the terms with the same base by adding their exponents

- 35 c^{2 + 3}

Add the numbers

- 35 c^{5}

(- 35 c^{5}) - (6 c - c^{2} \times 7) = 0

Remove the parentheses

- 35 c^{5} - (6 c - c^{2} \times 7) = 0

Use the commutative property to reorder the terms

- 35 c^{5} - (6 c - 7 c^{2}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 35 c^{5} - 6 c + 7 c^{2} = 0

Factor the expression

- c (35 c^{4} + 6 - 7 c) = 0

Separate the equation into 2 possible cases

- c = 0 35 c^{4} + 6 - 7 c = 0

Change the signs on both sides of the equation

c = 0 35 c^{4} + 6 - 7 c = 0

Solve the equation

c = 0 c \in / R

Solution

c = 0

Show Solution