Four times the square of a number is the same as the sum of 12 times the number and 16. Find the number.

Answer 1

4*x^2 = 12x + 16

4 x^2 - 12x - 16 = 0

x^2 - 3x - 4 = 0

( x - 4 )(x + 1 ) = 0

x-4 = 0 or x +1 = 0

x=4 or x = -1