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x^(2)+5x+6=0quad x=?

x2+5x+6=0x=? x^{2}+5 x+6=0 \quad x=?

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Composition of linear and quadratic functions: find a valueright chevron icon

Full solution

Q. x2+5x+6=0x=? x^{2}+5 x+6=0 \quad x=?
  1. Factor the quadratic equation: First, we need to factor the quadratic equation.\newlinex2+5x+6=(x+2)(x+3)=0x^2 + 5x + 6 = (x + 2)(x + 3) = 0
  2. Set factors equal to zero: Now, set each factor equal to zero and solve for xx.x+2=0x + 2 = 0 or x+3=0x + 3 = 0
  3. Solve for x: Solve the first equation: x+2=0x + 2 = 0\newlinex=−2x = -2
  4. Solve for x: Solve the second equation: x+3=0x + 3 = 0\newlinex=−3x = -3

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