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.

Respuesta :

Multiply both sides of the equation by 1/2

Answer:

Option C is correct

Multiply both sides of the equation by [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given the equation:

[tex]2x^2+12x = 32[/tex]

Multiply both sides by [tex]\frac{1}{2}[/tex]  we get;

[tex]\frac{1}{2} \cdot (2x^2+12x) = \frac{1}{2} \cdot 32[/tex]

Simplify:

[tex]x^2+6x = 16[/tex]

Subtract 16 from both sides we have;

[tex]x^2+6x-16=0[/tex]

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

Multiply both sides of the equation by [tex]\frac{1}{2}[/tex]