(8t-9)(8t+9)=

Solution for (8t-9)(8t+9)= equation:

Simplifying
(8t + -9)(8t + 9) = 0

Reorder the terms:
(-9 + 8t)(8t + 9) = 0

Reorder the terms:
(-9 + 8t)(9 + 8t) = 0

Multiply (-9 + 8t) * (9 + 8t)
(-9(9 + 8t) + 8t * (9 + 8t)) = 0
((9 * -9 + 8t * -9) + 8t * (9 + 8t)) = 0
((-81 + -72t) + 8t * (9 + 8t)) = 0
(-81 + -72t + (9 * 8t + 8t * 8t)) = 0
(-81 + -72t + (72t + 64t2)) = 0

Combine like terms: -72t + 72t = 0
(-81 + 0 + 64t2) = 0
(-81 + 64t2) = 0

Solving
-81 + 64t2 = 0

Solving for variable 't'.

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

Add '81' to each side of the equation.
-81 + 81 + 64t2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 64t2 = 0 + 81
64t2 = 0 + 81

Combine like terms: 0 + 81 = 81
64t2 = 81

Divide each side by '64'.
t2 = 1.265625

Simplifying
t2 = 1.265625

Take the square root of each side:
t = {-1.125, 1.125}