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Let’s check out your problem:

x^(2)+6x+9=0

x2+6x+9=0 x^{2}+6 x+9=0

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Full solution

Q. x2+6x+9=0 x^{2}+6 x+9=0
  1. Recognize coefficients: Recognize the quadratic form and identify coefficients.\newlineGiven equation: x2+6x+9=0x^2 + 6x + 9 = 0.\newlineHere, a=1a = 1, b=6b = 6, c=9c = 9.
  2. Check for easy factorization: Check if the quadratic can be factored easily.\newlineNotice that 6x6x can be split as 3x+3x3x + 3x and 99 as 3×33\times3, suggesting (x+3)(x+3)(x + 3)(x + 3) might work.
  3. Factor the quadratic: Factor the quadratic. x2+6x+9=(x+3)(x+3)=(x+3)2x^2 + 6x + 9 = (x + 3)(x + 3) = (x + 3)^2.
  4. Solve the factored equation: Solve the factored equation. Set (x+3)2=0(x + 3)^2 = 0. Taking square root on both sides, x+3=0x + 3 = 0.
  5. Find x value: Find the value of x.\newlinex=−3x = -3.

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