-.1t^2+1.9t=10

Solution for -.1t^2+1.9t=10 equation:

Simplifying
-0.1t2 + 1.9t = 10

Reorder the terms:
1.9t + -0.1t2 = 10

Solving
1.9t + -0.1t2 = 10

Solving for variable 't'.

Reorder the terms:
-10 + 1.9t + -0.1t2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 1.9t + -0.1t2 = 0

Begin completing the square.  Divide all terms by
-0.1 the coefficient of the squared term: 

Divide each side by '-0.1'.
100 + -19t + t2 = 0

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -19t + -100 + t2 = 0 + -100

Reorder the terms:
100 + -100 + -19t + t2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -19t + t2 = 0 + -100
-19t + t2 = 0 + -100

Combine like terms: 0 + -100 = -100
-19t + t2 = -100

The t term is -19t.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19t + 90.25 + t2 = -100 + 90.25

Reorder the terms:
90.25 + -19t + t2 = -100 + 90.25

Combine like terms: -100 + 90.25 = -9.75
90.25 + -19t + t2 = -9.75

Factor a perfect square on the left side:
(t + -9.5)(t + -9.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.