(T-4)(T+4)=9

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


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

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

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

Multiply (-4 + T) * (4 + T)
(-4(4 + T) + T(4 + T)) = 9
((4 * -4 + T * -4) + T(4 + T)) = 9
((-16 + -4T) + T(4 + T)) = 9
(-16 + -4T + (4 * T + T * T)) = 9
(-16 + -4T + (4T + T2)) = 9

Combine like terms: -4T + 4T = 0
(-16 + 0 + T2) = 9
(-16 + T2) = 9

Solving
-16 + T2 = 9

Solving for variable 'T'.

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

Add '16' to each side of the equation.
-16 + 16 + T2 = 9 + 16

Combine like terms: -16 + 16 = 0
0 + T2 = 9 + 16
T2 = 9 + 16

Combine like terms: 9 + 16 = 25
T2 = 25

Simplifying
T2 = 25

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

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