(y-4)(y+4)=9

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Solution for (y-4)(y+4)=9 equation: 


Simplifying
(y + -4)(y + 4) = 9

Reorder the terms:
(-4 + y)(y + 4) = 9

Reorder the terms:
(-4 + y)(4 + y) = 9

Multiply (-4 + y) * (4 + y)
(-4(4 + y) + y(4 + y)) = 9
((4 * -4 + y * -4) + y(4 + y)) = 9
((-16 + -4y) + y(4 + y)) = 9
(-16 + -4y + (4 * y + y * y)) = 9
(-16 + -4y + (4y + y2)) = 9

Combine like terms: -4y + 4y = 0
(-16 + 0 + y2) = 9
(-16 + y2) = 9

Solving
-16 + y2 = 9

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + y2 = 9 + 16

Combine like terms: -16 + 16 = 0
0 + y2 = 9 + 16
y2 = 9 + 16

Combine like terms: 9 + 16 = 25
y2 = 25

Simplifying
y2 = 25

Take the square root of each side:
y = {-5, 5}

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