Question

solve the equation.

\\2r^2 - 32 = 0\\

\
= \pm ? \\

Explanation:

Factor out the greatest common factor

Using the Greatest Common Factor knowledge point

$$
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$$

Apply the difference of squares formula

Using the Difference of Squares knowledge point

$$
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$$

Solve for the variable r

Identify the values of \(r\) that satisfy the factored equation.

• Set each variable factor to zero:

$$ r - 4 = 0 \implies r = 4 $$

$$ r + 4 = 0 \implies r = -4 $$

• Combine the solutions:

$$ r = \pm 4 $$

Answer:

Solve the equation.

$$2r^2 - 32 = 0$$

\(r = \pm\) <blank>4</blank>