Question

solve for \\(x\\) by using the quadratic formula. if you have multiple solutions, list them separated by commas.

\\4x^2 + 8x = -7\\

\\(x =\\)

Explanation:

Write the equation in standard form

Using the Quadratic Formula knowledge point

$$
LATEXBLOCK0
$$

Identify the coefficients

Using the Quadratic Formula knowledge point

$$ a = 4, \quad b = 8, \quad c = 7 $$

Apply the quadratic formula

Using the Quadratic Formula knowledge point

$$
LATEXBLOCK1
$$

Simplify the radical expression

Using the Simplifying Radicals and Complex Numbers knowledge points

$$
LATEXBLOCK2
$$

Simplify the final solutions

Using the Complex Numbers knowledge point

$$
LATEXBLOCK3
$$

Answer:

Solve for \(x\) by using the quadratic formula. If you have multiple solutions, list them separated by commas.

\(4x^2 + 8x = -7\)

\(x =\) <blank>\(-1+\frac{i\sqrt{3}}{2},-1-\frac{i\sqrt{3}}{2}\)</blank>