Answer:
x = 5/3 or x = -3
Step-by-step explanation:
3x² + 4x - 15 = 0
Factor left side.
(3x - 5)(x + 3) = 0
Set factors equal to 0.
3x - 5 = 0
3x = 5
x = 5/3
x + 3 = 0
x = -3
x = -3 OR x = 5/3
=> [tex]3x^2+4x-15 = 0[/tex]
Using mid term break formula
=> [tex]3x^2+9x-5x-15 = 0[/tex]
=> 3x(x+3)-5(x+3) = 0
Taking x-3 common
=> (x+3)(3x-5) = 0
Either
x+3 = 0 OR 3x-5 = 0
