Question

16x2 + 10x – 27 = -6x + 5 What are the solutions to this equation ? X x=

Answer 1

Answer:

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