Algebra-1

To find the solution to the system of equations:

1) y = x² + 6x + 10
2) y = -2x - 6

We can set the expressions for y equal to each other since they both represent y:

x² + 6x + 10 = -2x - 6

Now, let's rearrange the equation to the standard form:

x² + 8x + 16 = 0

To solve this quadratic equation, we can factorize it:

(x + 4)(x + 4) = 0

Simplifying further, we have:

(x + 4)² = 0