.4t^2+.7t=.3t-.2

Solution for .4t^2+.7t=.3t-.2 equation:

Simplifying
0.4t2 + 0.7t = 0.3t + -0.2

Reorder the terms:
0.7t + 0.4t2 = 0.3t + -0.2

Reorder the terms:
0.7t + 0.4t2 = -0.2 + 0.3t

Solving
0.7t + 0.4t2 = -0.2 + 0.3t

Solving for variable 't'.

Reorder the terms:
0.2 + 0.7t + -0.3t + 0.4t2 = -0.2 + 0.3t + 0.2 + -0.3t

Combine like terms: 0.7t + -0.3t = 0.4t
0.2 + 0.4t + 0.4t2 = -0.2 + 0.3t + 0.2 + -0.3t

Reorder the terms:
0.2 + 0.4t + 0.4t2 = -0.2 + 0.2 + 0.3t + -0.3t

Combine like terms: -0.2 + 0.2 = 0.0
0.2 + 0.4t + 0.4t2 = 0.0 + 0.3t + -0.3t
0.2 + 0.4t + 0.4t2 = 0.3t + -0.3t

Combine like terms: 0.3t + -0.3t = 0.0
0.2 + 0.4t + 0.4t2 = 0.0

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

Divide each side by '0.4'.
0.5 + t + t2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + t + -0.5 + t2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + t + t2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + t + t2 = 0 + -0.5
t + t2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
t + t2 = -0.5

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 = -0.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
1.25 + t2 = -0.25

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.