find x (6x-14) (4x+4)

Answer 1

To find x, expand the given expression using the distributive property:

(6x-14)(4x+4) = 6x(4x) + 6x(4) - 14(4x) - 14(4)

= 24x^2 + 24x - 56x - 56

= 24x^2 - 32x - 56

Now we have the quadratic equation: 24x^2 - 32x - 56 = 0

We can factor this equation by finding two numbers whose product is -56 and sum is -32: -14 and +4.

Therefore, we can write the equation as (6x-14)(4x+4) = (4x - 14)(6x + 4)

Setting each factor equal to zero, we have:

4x - 14 = 0 or 6x + 4 = 0

Solving for x in each equation:

4x - 14 = 0
4x = 14
x = 14/4
x = 7/2

6x + 4 = 0
6x = -4
x = -4/6
x = -2/3

Therefore, the values of x are x = 7/2 and x = -2/3.