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Math Asked by a SnapAndSolve user · about 2 hours ago

Solve the quadratic equation using the method that seems most appropriate to you. (x + 6)(2x + 1) = 6...

Solve the quadratic equation using the method that seems most appropriate to you.
(x + 6)(2x + 1) = 6
Solutions (separate by commas): x =

Answer

First, expand the equation:

(x + 6)(2x + 1) = 6

2x^2 + x + 12x + 6 = 6

2x^2 + 13x + 6 = 6

Subtract 6 from both sides:

2x^2 + 13x = 0

Factor out x:

x(2x + 13) = 0

Set each factor to zero:

  1. x = 0
  2. 2x + 13 = 0

Solve for x:

  1. x = 0
  2. 2x = -13
  3. x = -13/2

Solutions: x = 0, -13/2

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