(t-5)(t+5)=9

Solution for (t-5)(t+5)=9 equation:

Simplifying
(t + -5)(t + 5) = 9

Reorder the terms:
(-5 + t)(t + 5) = 9

Reorder the terms:
(-5 + t)(5 + t) = 9

Multiply (-5 + t) * (5 + t)
(-5(5 + t) + t(5 + t)) = 9
((5 * -5 + t * -5) + t(5 + t)) = 9
((-25 + -5t) + t(5 + t)) = 9
(-25 + -5t + (5 * t + t * t)) = 9
(-25 + -5t + (5t + t2)) = 9

Combine like terms: -5t + 5t = 0
(-25 + 0 + t2) = 9
(-25 + t2) = 9

Solving
-25 + t2 = 9

Solving for variable 't'.

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

Add '25' to each side of the equation.
-25 + 25 + t2 = 9 + 25

Combine like terms: -25 + 25 = 0
0 + t2 = 9 + 25
t2 = 9 + 25

Combine like terms: 9 + 25 = 34
t2 = 34

Simplifying
t2 = 34

Take the square root of each side:
t = {-5.830951895, 5.830951895}