(.6t+.5)(.6t-.5)=

Solution for (.6t+.5)(.6t-.5)= equation:

Simplifying
(0.6t + 0.5)(0.6t + -0.5) = 0

Reorder the terms:
(0.5 + 0.6t)(0.6t + -0.5) = 0

Reorder the terms:
(0.5 + 0.6t)(-0.5 + 0.6t) = 0

Multiply (0.5 + 0.6t) * (-0.5 + 0.6t)
(0.5(-0.5 + 0.6t) + 0.6t * (-0.5 + 0.6t)) = 0
((-0.5 * 0.5 + 0.6t * 0.5) + 0.6t * (-0.5 + 0.6t)) = 0
((-0.25 + 0.3t) + 0.6t * (-0.5 + 0.6t)) = 0
(-0.25 + 0.3t + (-0.5 * 0.6t + 0.6t * 0.6t)) = 0
(-0.25 + 0.3t + (-0.3t + 0.36t2)) = 0

Combine like terms: 0.3t + -0.3t = 0.0
(-0.25 + 0.0 + 0.36t2) = 0
(-0.25 + 0.36t2) = 0

Solving
-0.25 + 0.36t2 = 0

Solving for variable 't'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + 0.36t2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.36t2 = 0 + 0.25
0.36t2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
0.36t2 = 0.25

Divide each side by '0.36'.
t2 = 0.6944444444

Simplifying
t2 = 0.6944444444

Take the square root of each side:
t = {-0.833333333, 0.833333333}