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2x^2+4x=16

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1 Answer

2x2 + 4x = 16            Move 16 to the left to help solve the problem
2x2 + 4x - 16 = 0       Now factor out 2 from the equation
2(x2 + 2x - 8) = 0      Now look at the factors of -4 that subtract to get a +2
2(x + 4)(x - 2) = 0     Now set the parts equal to 0 and solve
2 = 0
not a solution
 
x + 4 = 0
   - 4     -4
x = -4
 
x - 2 = 0
  +2    +2
x = 2
 
The solutions are (-4, 2)