x to the second power+10x+16=0

x^2+10x+16 = 0

x^2+2(5x)+16 = 0 square the coefficient of the x term to get 25 and add this to both sides x^2 + 2(5x) +25 +16 = 25 move the 16 to the right side x^2 + 2(5x) + 25 = -16+25 factor the left side to get (x+5)^2 = 9 take sq root of both sides: (x+5) = +/-3 x1 = +3-5 = -2 x2 = -3-5 = -8

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