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Simplifying
(y + -7)(y + 7) = 0
Reorder the terms:
(-7 + y)(y + 7) = 0
Reorder the terms:
(-7 + y)(7 + y) = 0
Multiply (-7 + y) * (7 + y)
(-7(7 + y) + y(7 + y)) = 0
((7 * -7 + y * -7) + y(7 + y)) = 0
((-49 + -7y) + y(7 + y)) = 0
(-49 + -7y + (7 * y + y * y)) = 0
(-49 + -7y + (7y + y2)) = 0
Combine like terms: -7y + 7y = 0
(-49 + 0 + y2) = 0
(-49 + y2) = 0
Solving
-49 + y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + y2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + y2 = 0 + 49
y2 = 0 + 49
Combine like terms: 0 + 49 = 49
y2 = 49
Simplifying
y2 = 49
Take the square root of each side:
y = {-7, 7}
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