4(t*t)-4t-195=0

Solution for 4(t*t)-4t-195=0 equation:

Simplifying
4(t * t) + -4t + -195 = 0

Multiply t * t
4(t2) + -4t + -195 = 0

Reorder the terms:
-195 + -4t + 4t2 = 0

Solving
-195 + -4t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-13 + -2t)(15 + -2t) = 0

Subproblem 1
Set the factor '(-13 + -2t)' equal to zero and attempt to solve:

Simplifying
-13 + -2t = 0

Solving
-13 + -2t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2t = 0 + 13
-2t = 0 + 13

Combine like terms: 0 + 13 = 13
-2t = 13

Divide each side by '-2'.
t = -6.5

Simplifying
t = -6.5
Subproblem 2
Set the factor '(15 + -2t)' equal to zero and attempt to solve:

Simplifying
15 + -2t = 0

Solving
15 + -2t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = 0 + -15
-2t = 0 + -15

Combine like terms: 0 + -15 = -15
-2t = -15

Divide each side by '-2'.
t = 7.5

Simplifying
t = 7.5
Solution
t = {-6.5, 7.5}