3t-(-26)=8t(-6t)

Solution for 3t-(-26)=8t(-6t) equation:

Simplifying
3t + -1(-26) = 8t(-6t)

Multiply -1 * -26
3t + 26 = 8t(-6t)

Reorder the terms:
26 + 3t = 8t(-6t)

Remove parenthesis around (-6t)
26 + 3t = 8t * -6t

Reorder the terms for easier multiplication:
26 + 3t = 8 * -6t * t

Multiply 8 * -6
26 + 3t = -48t * t

Multiply t * t
26 + 3t = -48t2

Solving
26 + 3t = -48t2

Solving for variable 't'.

Combine like terms: -48t2 + 48t2 = 0
26 + 3t + 48t2 = 0

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

Divide each side by '48'.
0.5416666667 + 0.0625t + t2 = 0

Move the constant term to the right:

Add '-0.5416666667' to each side of the equation.
0.5416666667 + 0.0625t + -0.5416666667 + t2 = 0 + -0.5416666667

Reorder the terms:
0.5416666667 + -0.5416666667 + 0.0625t + t2 = 0 + -0.5416666667

Combine like terms: 0.5416666667 + -0.5416666667 = 0.0000000000
0.0000000000 + 0.0625t + t2 = 0 + -0.5416666667
0.0625t + t2 = 0 + -0.5416666667

Combine like terms: 0 + -0.5416666667 = -0.5416666667
0.0625t + t2 = -0.5416666667

The t term is 0.0625t.  Take half its coefficient (0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
0.0625t + 0.0009765625 + t2 = -0.5416666667 + 0.0009765625

Reorder the terms:
0.0009765625 + 0.0625t + t2 = -0.5416666667 + 0.0009765625

Combine like terms: -0.5416666667 + 0.0009765625 = -0.5406901042
0.0009765625 + 0.0625t + t2 = -0.5406901042

Factor a perfect square on the left side:
(t + 0.03125)(t + 0.03125) = -0.5406901042

Can't calculate square root of the right side.

The solution to this equation could not be determined.