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Simplifying
[y + 5][y + -5] = 0
Reorder the terms:
[5 + y][y + -5] = 0
Reorder the terms:
[5 + y][-5 + y] = 0
Multiply [5 + y] * [-5 + y]
[5[-5 + y] + y[-5 + y]] = 0
[[-5 * 5 + y * 5] + y[-5 + y]] = 0
[[-25 + 5y] + y[-5 + y]] = 0
[-25 + 5y + [-5 * y + y * y]] = 0
[-25 + 5y + [-5y + y2]] = 0
Combine like terms: 5y + -5y = 0
[-25 + 0 + y2] = 0
[-25 + y2] = 0
Solving
-25 + y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + y2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + y2 = 0 + 25
y2 = 0 + 25
Combine like terms: 0 + 25 = 25
y2 = 25
Simplifying
y2 = 25
Take the square root of each side:
y = {-5, 5}
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