Solve 2x^(2)-16x x-8

Question

Simplify the expression

- 14 x^{2} - 8

Evaluate

2 x^{2} - 16 x \times x - 8

Multiply the terms

2 x^{2} - 16 x^{2} - 8

Solution

More Steps

Evaluate

2 x^{2} - 16 x^{2}

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

(2 - 16) x^{2}

Subtract the numbers

- 14 x^{2}

- 14 x^{2} - 8

Show Solution

Factor the expression

- 2 (7 x^{2} + 4)

Evaluate

2 x^{2} - 16 x \times x - 8

Multiply the terms

2 x^{2} - 16 x^{2} - 8

Subtract the terms

More Steps

Simplify

2 x^{2} - 16 x^{2}

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

(2 - 16) x^{2}

Subtract the numbers

- 14 x^{2}

- 14 x^{2} - 8

Solution

- 2 (7 x^{2} + 4)

Show Solution

Find the roots

x_{1} = - \frac{2 7}{7} i, x_{2} = \frac{2 7}{7} i

Alternative Form

x_{1} \approx - 0.755929 i, x_{2} \approx 0.755929 i

Evaluate

2 x^{2} - 16 x \times x - 8

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

2 x^{2} - 16 x \times x - 8 = 0

Multiply the terms

2 x^{2} - 16 x^{2} - 8 = 0

Subtract the terms

More Steps

Simplify

2 x^{2} - 16 x^{2}

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

(2 - 16) x^{2}

Subtract the numbers

- 14 x^{2}

- 14 x^{2} - 8 = 0

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

- 14 x^{2} = 0 + 8

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

- 14 x^{2} = 8

Change the signs on both sides of the equation

14 x^{2} = - 8

Divide both sides

\frac{14 x ^{2}}{14} = \frac{- 8}{14}

Divide the numbers

x^{2} = \frac{- 8}{14}

Divide the numbers

More Steps

Evaluate

\frac{- 8}{14}

Cancel out the common factor 2

\frac{- 4}{7}

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

- \frac{4}{7}

x^{2} = - \frac{4}{7}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm - \frac{4}{7}

Simplify the expression

More Steps

Evaluate

- \frac{4}{7}

Evaluate the power

\frac{4}{7} \times - 1

Evaluate the power

\frac{4}{7} \times i

Evaluate the power

More Steps

Evaluate

\frac{4}{7}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4}{7}

Simplify the radical expression

\frac{2}{7}

Multiply by the Conjugate

\frac{2 7}{7 \times 7}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{2 7}{7}

\frac{2 7}{7} i

x = \pm \frac{2 7}{7} i

Separate the equation into 2 possible cases

x = \frac{2 7}{7} i x = - \frac{2 7}{7} i

Solution

x_{1} = - \frac{2 7}{7} i, x_{2} = \frac{2 7}{7} i

Alternative Form

x_{1} \approx - 0.755929 i, x_{2} \approx 0.755929 i

Show Solution