For this case we have the following equation [tex]2x ^ 2 + 8x-12 = 0[/tex]
To complete squares we follow the steps below:
We divide between 2 on both sides of the equation:
[tex]x ^ 2 + 4x-6 = 0\\x ^ 2 + 4x = 6[/tex]
We divide the term by 2 and square it. We add this to both sides of the equation:
[tex]x ^ 2 + 4x + (\frac {4} {2}) ^ 2 = 6 + (\frac {4} {2}) ^ 2\\x ^ 2 + 4x + (2) ^ 2 = 6 + 4\\x ^ 2 + 4x + (2) ^ 2 = 10\\(x + 2) ^ 2 = 10[/tex]
ANswer:
[tex](x + 2) ^ 2 = 10[/tex]
