Solve (-x^2-4x 1)-(2x^29)

Question

Simplify the expression

- 19 x^{2} - 4 x

Evaluate

(- x^{2} - 4 x \times 1) - (2 x^{2} \times 9)

Multiply the terms

(- x^{2} - 4 x) - (2 x^{2} \times 9)

Remove the parentheses

- x^{2} - 4 x - (2 x^{2} \times 9)

Multiply the terms

- x^{2} - 4 x - 18 x^{2}

Solution

More Steps

Evaluate

- x^{2} - 18 x^{2}

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

(- 1 - 18) x^{2}

Subtract the numbers

- 19 x^{2}

- 19 x^{2} - 4 x

Show Solution

Factor the expression

- x (19 x + 4)

Evaluate

(- x^{2} - 4 x \times 1) - (2 x^{2} \times 9)

Multiply the terms

(- x^{2} - 4 x) - (2 x^{2} \times 9)

Remove the parentheses

- x^{2} - 4 x - (2 x^{2} \times 9)

Multiply the terms

- x^{2} - 4 x - 18 x^{2}

Subtract the terms

More Steps

Evaluate

- x^{2} - 18 x^{2}

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

(- 1 - 18) x^{2}

Subtract the numbers

- 19 x^{2}

- 19 x^{2} - 4 x

Rewrite the expression

- x \times 19 x - x \times 4

Solution

- x (19 x + 4)

Show Solution

Find the roots

x_{1} = - \frac{4}{19}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.210526, x_{2} = 0

Evaluate

(- x^{2} - 4 x \times 1) - (2 x^{2} \times 9)

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

(- x^{2} - 4 x \times 1) - (2 x^{2} \times 9) = 0

Multiply the terms

(- x^{2} - 4 x) - (2 x^{2} \times 9) = 0

Remove the parentheses

- x^{2} - 4 x - (2 x^{2} \times 9) = 0

Multiply the terms

- x^{2} - 4 x - 18 x^{2} = 0

Subtract the terms

More Steps

Simplify

- x^{2} - 4 x - 18 x^{2}

Subtract the terms

More Steps

Evaluate

- x^{2} - 18 x^{2}

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

(- 1 - 18) x^{2}

Subtract the numbers

- 19 x^{2}

- 19 x^{2} - 4 x

- 19 x^{2} - 4 x = 0

Factor the expression

More Steps

Evaluate

- 19 x^{2} - 4 x

Rewrite the expression

- x \times 19 x - x \times 4

Factor out - x from the expression

- x (19 x + 4)

- x (19 x + 4) = 0

When the product of factors equals 0,at least one factor is 0

- x = 0 19 x + 4 = 0

Solve the equation for x

x = 0 19 x + 4 = 0

Solve the equation for x

More Steps

Evaluate

19 x + 4 = 0

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

19 x = 0 - 4

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

19 x = - 4

Divide both sides

\frac{19 x}{19} = \frac{- 4}{19}

Divide the numbers

x = \frac{- 4}{19}

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

x = - \frac{4}{19}

x = 0 x = - \frac{4}{19}

Solution

x_{1} = - \frac{4}{19}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.210526, x_{2} = 0

Show Solution