Question

current objective
solve a factored quadratic equation using the zero product property

question
solve: \\((10y - 6)(7y - 6) = 0\\). multiple answers, if any, should be separated by commas.

provide your answer below:
\\(y =\\)

Explanation:

Apply the Zero Product Property

Using the Zero Product Property knowledge point

$$ (10y - 6)(7y - 6) = 0 \implies 10y - 6 = 0 \quad \text{or} \quad 7y - 6 = 0 $$

Solve the first linear equation

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Solve the second linear equation

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Combine the solutions

The solutions to the equation are:

$$ y = \frac{3}{5}, \frac{6}{7} $$

Answer:

Solve: \((10y - 6)(7y - 6) = 0\). Multiple answers, if any, should be separated by commas. Enter your answer below:

\(y =\) <blank>\(\frac{3}{5}, \frac{6}{7}\)</blank>