Question

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.

Answer 1

Multiply both sides of the equation by 1/2

Answer 2

Option C is correct

Multiply both sides of the equation by
`(1)/(2)`

Explanation:

Given the equation:

`2x^2+12x = 32`

Multiply both sides by
`(1)/(2)` we get;

`(1)/(2) \cdot (2x^2+12x) = (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
`(1)/(2)`