(7t-6)(7t+6)=0

Solution for (7t-6)(7t+6)=0 equation:

Simplifying
(7t + -6)(7t + 6) = 0

Reorder the terms:
(-6 + 7t)(7t + 6) = 0

Reorder the terms:
(-6 + 7t)(6 + 7t) = 0

Multiply (-6 + 7t) * (6 + 7t)
(-6(6 + 7t) + 7t * (6 + 7t)) = 0
((6 * -6 + 7t * -6) + 7t * (6 + 7t)) = 0
((-36 + -42t) + 7t * (6 + 7t)) = 0
(-36 + -42t + (6 * 7t + 7t * 7t)) = 0
(-36 + -42t + (42t + 49t2)) = 0

Combine like terms: -42t + 42t = 0
(-36 + 0 + 49t2) = 0
(-36 + 49t2) = 0

Solving
-36 + 49t2 = 0

Solving for variable 't'.

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

Add '36' to each side of the equation.
-36 + 36 + 49t2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 49t2 = 0 + 36
49t2 = 0 + 36

Combine like terms: 0 + 36 = 36
49t2 = 36

Divide each side by '49'.
t2 = 0.7346938776

Simplifying
t2 = 0.7346938776

Take the square root of each side:
t = {-0.857142857, 0.857142857}