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## Answers

first step transfer the # 7 to the right side

so we x² + 6x = 7

then divide six by 2 and squared it that is (6/2)² = 9

now we have x² + 6x + 9 = 7+ 9 / since we added 9 to the left we must also add 9 to the right side

complete the square (x+3)² =16

x + 3 = + or - √16 = 4 or - 4

x = 4-3 = 1 or -4 -3 = -7

Please click image below to view more complex example with solution.

Also, please note that the answer of other user here, cheajimmy, is completely correct, so consider the example he posted (a less complex equation).