2(x^2 - 16) - 6x = x^2 - 4x + 4
Expanding the left side:2x^2 - 32 - 6x = x^2 - 4x + 4
Simplifying:2x^2 - 32 - 6x = x^2 - 4x + 42x^2 - 6x - 32 = x^2 - 4x + 42x^2 - x^2 - 6x + 4x - 32 - 4 = 0x^2 - 2x - 36 = 0
This is a quadratic equation that can be factored as (x - 6)(x + 6) = 0Therefore, the solution to the equation is x = 6 or x = -6.
2(x^2 - 16) - 6x = x^2 - 4x + 4
Expanding the left side:
2x^2 - 32 - 6x = x^2 - 4x + 4
Simplifying:
2x^2 - 32 - 6x = x^2 - 4x + 4
2x^2 - 6x - 32 = x^2 - 4x + 4
2x^2 - x^2 - 6x + 4x - 32 - 4 = 0
x^2 - 2x - 36 = 0
This is a quadratic equation that can be factored as (x - 6)(x + 6) = 0
Therefore, the solution to the equation is x = 6 or x = -6.