16x2 + 10x - 27 = - 6x + 5

What are the solutions to this equation?

X

x=

x=-2 x=1

Step-by-step explanation:

16x2 + 10x - 27 = - 6x + 5

Add 6x to each side

16x^2+6x + 10x - 27 = - 6x+6x + 5

16x^2 + 16x - 27 = 5

Subtract 5 from each side

16x^2 + 16x - 27-5 = 5 - 5

16x^2 + 16x - 32 = 0

Factor out 16

16 (x^2 + x-2) = 0

Factor

16 (x+2) (x-1) = 0

Using the zero product property

(x+2) = 0 x-1=0

x=-2 x=1