Solve (-x^2 3x)-(5x^2x^2)

Question

Simplify the expression

Solution

- 3 x^{3} - 5 x^{4}

Evaluate

(- x^{2} \times 3 x) - (5 x^{2} \times x^{2})

Multiply

More Steps

Multiply the terms

- x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

- x^{2 + 1} \times 3

Add the numbers

- x^{3} \times 3

Use the commutative property to reorder the terms

- 3 x^{3}

(- 3 x^{3}) - (5 x^{2} \times x^{2})

Remove the parentheses

- 3 x^{3} - (5 x^{2} \times x^{2})

Solution

More Steps

Multiply the terms

5 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

5 x^{2 + 2}

Add the numbers

5 x^{4}

- 3 x^{3} - 5 x^{4}

Show Solution

Factor the expression

Factor

- x^{3} (3 + 5 x)

Evaluate

(- x^{2} \times 3 x) - (5 x^{2} \times x^{2})

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

(- 3 x^{3}) - (5 x^{2} \times x^{2})

Remove the parentheses

- 3 x^{3} - (5 x^{2} \times x^{2})

Multiply

More Steps

Multiply the terms

5 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

5 x^{2 + 2}

Add the numbers

5 x^{4}

- 3 x^{3} - 5 x^{4}

Rewrite the expression

- x^{3} \times 3 - x^{3} \times 5 x

Solution

- x^{3} (3 + 5 x)

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = - \frac{3}{5}, x_{2} = 0

Alternative Form

x_{1} = - 0.6, x_{2} = 0

Evaluate

(- x^{2} \times 3 x) - (5 x^{2} \times x^{2})

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

(- x^{2} \times 3 x) - (5 x^{2} \times x^{2}) = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

(- 3 x^{3}) - (5 x^{2} \times x^{2}) = 0

Remove the parentheses

- 3 x^{3} - (5 x^{2} \times x^{2}) = 0

Multiply

More Steps

Multiply the terms

5 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

5 x^{2 + 2}

Add the numbers

5 x^{4}

- 3 x^{3} - 5 x^{4} = 0

Factor the expression

- x^{3} (3 + 5 x) = 0

Divide both sides

x^{3} (3 + 5 x) = 0

Separate the equation into 2 possible cases

x^{3} = 0 3 + 5 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 3 + 5 x = 0

Solve the equation

More Steps

Evaluate

3 + 5 x = 0

Move the constant to the right-hand side and change its sign

5 x = 0 - 3

Removing 0 doesn't change the value,so remove it from the expression

5 x = - 3

Divide both sides

\frac{5 x}{5} = \frac{- 3}{5}

Divide the numbers

x = \frac{- 3}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{3}{5}

x = 0 x = - \frac{3}{5}

Solution

x_{1} = - \frac{3}{5}, x_{2} = 0

Alternative Form

x_{1} = - 0.6, x_{2} = 0

Show Solution

( X^2 3x) (5x^2x^2)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression