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To simplify the expression, let's start by evaluating the expressions within the brackets separately:
For the first term:
(x^1 + x^2) = x + x^2
For the second term:
2(-1) = -2
Now, substituting these values back into the original expression:
x + 5 + 2(-1)[(x^1 + x^2) = 2(-1)]
x + 5 + 2(-1)[x + x^2 = -2]
x + 5 + 2x + 2x^2 = -4
3x + 2x^2 + 5 = -4
Rearranging the terms:
2x^2 + 3x + 9 = 0
Now, let's simplify the second expression:
y + 2 = 2 * 0[y^1 + y^2 = 2 * 0]
y + 2 = 0
To solve for y, subtract 2 from both sides:
y = -2
So, the simplified expressions are:
For x: 2x^2 + 3x + 9 = 0
For y: y = -2