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

Add 36 to each side of the equation.

Multiply both sides of the equation by 12.

Add 6 to each side of the equation.

Multiply both sides of the equation by 16.

**Solution:**

Given equation is 2x^{2} + 12x = 32

Comparing with a^{2} + 2ab + b^{2}

Here, a^{2} = 2x^{2}

⇒ a = √2x,

2ab = 2(√2x)(b) = 12

⇒ b = 3√2

Thus we have to add ( 3√2)^{2 }= 18 on both the sides

**II METHOD**

2x^{2} + 12x = 32

Divide the equation by 2

x^{2} + 6x = 16

Comparing with a^{2} + 2ab + b^{2}

Here, a^{2} = x^{2}

And 2ab = 2(x)(b) = 6x ⇒ b = 3

Thus we have to add 3^{2} on both sides

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

**Summary:**

None of the options describes correctly

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