3x - 2x(x - 1) = 2(7 - x^2)
3x - 2x^2 + 2x = 14 - 2x^2
Combine like terms:
-x^2 + 5x = 14
Rearrange the terms:
x^2 - 5x + 14 = 0
Factor the quadratic equation:
(x - 2)(x - 7) = 0
Set each factor to zero:
x - 2 = 0 or x - 7 = 0
Solve for x:
x = 2 or x = 7
Therefore, the solutions to the equation are x = 2 and x = 7.
3x - 2x(x - 1) = 2(7 - x^2)
3x - 2x^2 + 2x = 14 - 2x^2
Combine like terms:
-x^2 + 5x = 14
Rearrange the terms:
x^2 - 5x + 14 = 0
Factor the quadratic equation:
(x - 2)(x - 7) = 0
Set each factor to zero:
x - 2 = 0 or x - 7 = 0
Solve for x:
x = 2 or x = 7
Therefore, the solutions to the equation are x = 2 and x = 7.