102=t(t+11t)

Solution for 102=t(t+11t) equation:

Simplifying
102 = t(t + 11t)

Combine like terms: t + 11t = 12t
102 = t(12t)

Remove parenthesis around (12t)
102 = t * 12t

Reorder the terms for easier multiplication:
102 = 12t * t

Multiply t * t
102 = 12t2

Solving
102 = 12t2

Solving for variable 't'.

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

Add '-12t2' to each side of the equation.
102 + -12t2 = 12t2 + -12t2

Combine like terms: 12t2 + -12t2 = 0
102 + -12t2 = 0

Add '-102' to each side of the equation.
102 + -102 + -12t2 = 0 + -102

Combine like terms: 102 + -102 = 0
0 + -12t2 = 0 + -102
-12t2 = 0 + -102

Combine like terms: 0 + -102 = -102
-12t2 = -102

Divide each side by '-12'.
t2 = 8.5

Simplifying
t2 = 8.5

Take the square root of each side:
t = {-2.915475947, 2.915475947}