Question

solve the equation by factoring.
enter the smallest solution first.

\\14x^2 = 25x + 25\\

\\x = -\frac{?}{ }, \frac{ }{ }\\

Explanation:

Rearrange to standard form

Using the Standard Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Factor the quadratic expression

Using the Polynomial Factoring and AC Method knowledge points

$$
LATEXBLOCK1
$$

Solve for x

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK2
$$

Order the solutions

Compare the two values to find the smallest solution:

$$ -\frac{5}{7} < \frac{5}{2} $$

Answer:

Solve the equation by factoring. Enter the smallest solution first.
\(14x^2 = 25x + 25\)
\(x =\) <blank>\(-\frac{5}{7}\)</blank>, <blank>\(\frac{5}{2}\)</blank>