Question

Solve the equation by factoring: 3x^2 + 22x - 16 = 0

Answer 1

To solve the equation 3x^2 + 22x - 16 = 0 by factoring, we find two numbers that multiply to give -48 and add up to 22. The solutions to the equation are x = 2/3 and x = -8.

Step-by-step explanation:

To solve the equation 3x2 + 22x - 16 = 0 by factoring, we need to find two numbers that multiply to give the product of (3)(-16) = -48 and add up to 22. These numbers are 24 and -2. So we can rewrite the equation as (3x - 2)(x + 8) = 0. Setting each factor equal to zero, we get 3x - 2 = 0 and x + 8 = 0. Solving these equations, we find x = 2/3 and x = -8. Therefore, the solutions to the equation are x = 2/3 and x = -8.

Answer 2

The equation given in the question is
3x^2 + 22x - 16 = 0
3x^2 + 24x - 2x - 16 = 0
3x(x + 8) - 2(x + 8) = 0
(3x - 2)(x + 8) = 0
Then either
3x - 2 = 0
3x = 2
x = 2/3
Or
x + 8 = 0
x = - 8
So from the above deduction, we can conclude that the value of "x" cam be either 2/3 or - 8.