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Which statement describes the first step to solve the equation by completing the square? 2x^2+12x=32

Multiply both sides of the equation by 16 .

Add 6 to each side of the equation.

Multiply both sides of the equation by 12 .

Add 36 to each side of the equation.

Verified Answer :

salemcraft

Multiply both sides of the equation by 1/2

Answer:

Option C is correct

Multiply both sides of the equation by \(\frac{1}{2}\)

Step-by-step explanation:

Given the equation:

\(2x^2+12x = 32\)

Multiply both sides by \(\frac{1}{2}\)  we get;

\(\frac{1}{2} \cdot (2x^2+12x) = \frac{1}{2} \cdot 32\)

Simplify:

\(x^2+6x = 16\)

Subtract 16 from both sides we have;

\(x^2+6x-16=0\)

Therefore, the first step to solve the equation by completing the square is,

Multiply both sides of the equation by \(\frac{1}{2}\)

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