Question

solving quadratic equations by factoring

solve the following quadratic function by factoring:

\\4x^2 + 20x - 24 = 2x - 2x^2\\

enter the smallest value first.

\\x = ?, \\

Explanation:

Rearrange the equation to standard form

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK0
$$

Divide by the greatest common factor

Using the Greatest Common Factor knowledge point

$$
LATEXBLOCK1
$$

Factor the quadratic trinomial

Using the Polynomial Factoring knowledge point

$$
LATEXBLOCK2
$$

Solve for x

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK3
$$

Order the solutions

We arrange the solutions from smallest to largest:

$$ x = -4, 1 $$

Answer:

Solve the following quadratic function by factoring:
\(4x^2 + 20x - 24 = 2x - 2x^2\)

Enter the smallest value first.
\(x =\) <blank>\(-4\)</blank>, <blank>\(1\)</blank>