Solve the equation

9x^2 + 24x + 16 = 36
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9x^2+24x+16 is a perfect square, the square of (3x+4), so (3x+4)^2=36. Taking square roots of each side: 3x+4=+6, so x=(6-4)/3=2/3 or (-6-4)/3=-10/3.

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