1.2=t+t*t

Solution for 1.2=t+t*t equation:

Simplifying
1.2 = t + t * t

Multiply t * t
1.2 = t + t2

Solving
1.2 = t + t2

Solving for variable 't'.

Reorder the terms:
1.2 + -1t + -1t2 = t + -1t + t2 + -1t2

Combine like terms: t + -1t = 0
1.2 + -1t + -1t2 = 0 + t2 + -1t2
1.2 + -1t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
1.2 + -1t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-1.2 + t + t2 = 0

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + t + 1.2 + t2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + t + t2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + t + t2 = 0 + 1.2
t + t2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
t + t2 = 1.2

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + t2 = 1.2 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = 1.2 + 0.25

Combine like terms: 1.2 + 0.25 = 1.45
1.25 + t2 = 1.45

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = 1.45

Calculate the square root of the right side: 1.204159458

Break this problem into two subproblems by setting 
(t + 0.5) equal to 1.204159458 and -1.204159458.

Subproblem 1
t + 0.5 = 1.204159458

Simplifying
t + 0.5 = 1.204159458

Reorder the terms:
0.5 + t = 1.204159458

Solving
0.5 + t = 1.204159458

Solving for variable 't'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + t = 1.204159458 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + t = 1.204159458 + -0.5
t = 1.204159458 + -0.5

Combine like terms: 1.204159458 + -0.5 = 0.704159458
t = 0.704159458

Simplifying
t = 0.704159458

Subproblem 2
t + 0.5 = -1.204159458

Simplifying
t + 0.5 = -1.204159458

Reorder the terms:
0.5 + t = -1.204159458

Solving
0.5 + t = -1.204159458

Solving for variable 't'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + t = -1.204159458 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + t = -1.204159458 + -0.5
t = -1.204159458 + -0.5

Combine like terms: -1.204159458 + -0.5 = -1.704159458
t = -1.704159458

Simplifying
t = -1.704159458

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.704159458, -1.704159458}