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Strategy in solving quadratics

Problem

Esma and Hunter were trying to solve the equation:
x, squared, plus, 8, x, equals, 2, x, minus, 8
They both agreed they should first subtract 2, x and add 8 to both sides and rewrite the equation as x, squared, plus, 6, x, plus, 8, equals, 0.
Then Esma said, "I can complete the square. I can add 1 to both sides to rewrite this equation as x, squared, plus, 6, x, plus, 9, equals, 1, factor, and solve using square roots."
Hunter said, “I'll factor the left-hand side of the equation as left parenthesis, x, plus, 2, right parenthesis, left parenthesis, x, plus, 4, right parenthesis and solve using the zero product property.”
Whose solution strategy would work?
Choose 1 answer:
Stuck?
Stuck?