(12t-5)(12t+5)=

Solution for (12t-5)(12t+5)= equation:

Simplifying
(12t + -5)(12t + 5) = 0

Reorder the terms:
(-5 + 12t)(12t + 5) = 0

Reorder the terms:
(-5 + 12t)(5 + 12t) = 0

Multiply (-5 + 12t) * (5 + 12t)
(-5(5 + 12t) + 12t * (5 + 12t)) = 0
((5 * -5 + 12t * -5) + 12t * (5 + 12t)) = 0
((-25 + -60t) + 12t * (5 + 12t)) = 0
(-25 + -60t + (5 * 12t + 12t * 12t)) = 0
(-25 + -60t + (60t + 144t2)) = 0

Combine like terms: -60t + 60t = 0
(-25 + 0 + 144t2) = 0
(-25 + 144t2) = 0

Solving
-25 + 144t2 = 0

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 + 144t2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 144t2 = 0 + 25
144t2 = 0 + 25

Combine like terms: 0 + 25 = 25
144t2 = 25

Divide each side by '144'.
t2 = 0.1736111111

Simplifying
t2 = 0.1736111111

Take the square root of each side:
t = {-0.416666667, 0.416666667}