(8t^2+4t-10)-(3t^2+t-12)=

Solution for (8t^2+4t-10)-(3t^2+t-12)= equation:

Simplifying
(8t2 + 4t + -10) + -1(3t2 + t + -12) = 0

Reorder the terms:
(-10 + 4t + 8t2) + -1(3t2 + t + -12) = 0

Remove parenthesis around (-10 + 4t + 8t2)
-10 + 4t + 8t2 + -1(3t2 + t + -12) = 0

Reorder the terms:
-10 + 4t + 8t2 + -1(-12 + t + 3t2) = 0
-10 + 4t + 8t2 + (-12 * -1 + t * -1 + 3t2 * -1) = 0
-10 + 4t + 8t2 + (12 + -1t + -3t2) = 0

Reorder the terms:
-10 + 12 + 4t + -1t + 8t2 + -3t2 = 0

Combine like terms: -10 + 12 = 2
2 + 4t + -1t + 8t2 + -3t2 = 0

Combine like terms: 4t + -1t = 3t
2 + 3t + 8t2 + -3t2 = 0

Combine like terms: 8t2 + -3t2 = 5t2
2 + 3t + 5t2 = 0

Solving
2 + 3t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
0.4 + 0.6t + t2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.6t + -0.4 + t2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.6t + t2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.6t + t2 = 0 + -0.4
0.6t + t2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.6t + t2 = -0.4

The t term is 0.6t.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6t + 0.09 + t2 = -0.4 + 0.09

Reorder the terms:
0.09 + 0.6t + t2 = -0.4 + 0.09

Combine like terms: -0.4 + 0.09 = -0.31
0.09 + 0.6t + t2 = -0.31

Factor a perfect square on the left side:
(t + 0.3)(t + 0.3) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.