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Simplifying
(y + 2)(y + -2) = 25
Reorder the terms:
(2 + y)(y + -2) = 25
Reorder the terms:
(2 + y)(-2 + y) = 25
Multiply (2 + y) * (-2 + y)
(2(-2 + y) + y(-2 + y)) = 25
((-2 * 2 + y * 2) + y(-2 + y)) = 25
((-4 + 2y) + y(-2 + y)) = 25
(-4 + 2y + (-2 * y + y * y)) = 25
(-4 + 2y + (-2y + y2)) = 25
Combine like terms: 2y + -2y = 0
(-4 + 0 + y2) = 25
(-4 + y2) = 25
Solving
-4 + y2 = 25
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + y2 = 25 + 4
Combine like terms: -4 + 4 = 0
0 + y2 = 25 + 4
y2 = 25 + 4
Combine like terms: 25 + 4 = 29
y2 = 29
Simplifying
y2 = 29
Take the square root of each side:
y = {-5.385164807, 5.385164807}
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