### Home > PC > Chapter 6 > Lesson 6.1.4 > Problem 6-60

6-60.

Find *a* and *b* such that 2*x*^{2} + 8*x* + *a* = 2(*x* + *b*)^{2}. Homework Help ✎

Expand the right side of the equation.

Subtract 2*x*^{2} from both sides of the equation.

One solution would be if 8*x* equaled 4*bx* and *a* equaled 2*b*^{2}.

2*x*^{2} + 8*x* + *a* = 2*x*^{2} + 4*bx* + 2*b*^{2}

8*x* + *a* = 4*bx* + 2*b*^{2}

*b* = 2 and *a* = 8