t(t-7t)+12=0

Solution for t(t-7t)+12=0 equation:

Simplifying
t(t + -7t) + 12 = 0

Combine like terms: t + -7t = -6t
t(-6t) + 12 = 0

Remove parenthesis around (-6t)
t * -6t + 12 = 0

Reorder the terms for easier multiplication:
-6t * t + 12 = 0

Multiply t * t
-6t2 + 12 = 0

Reorder the terms:
12 + -6t2 = 0

Solving
12 + -6t2 = 0

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + -6t2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6t2 = 0 + -12
-6t2 = 0 + -12

Combine like terms: 0 + -12 = -12
-6t2 = -12

Divide each side by '-6'.
t2 = 2

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}