3+5(5t+1)8t=

Solution for 3+5(5t+1)8t= equation:

Simplifying
3 + 5(5t + 1) * 8t = 0

Reorder the terms:
3 + 5(1 + 5t) * 8t = 0

Reorder the terms for easier multiplication:
3 + 5 * 8t(1 + 5t) = 0

Multiply 5 * 8
3 + 40t(1 + 5t) = 0
3 + (1 * 40t + 5t * 40t) = 0
3 + (40t + 200t2) = 0

Solving
3 + 40t + 200t2 = 0

Solving for variable 't'.

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

Divide each side by '200'.
0.015 + 0.2t + t2 = 0.00

Move the constant term to the right:

Add '-0.015' to each side of the equation.
0.015 + 0.2t + -0.015 + t2 = 0.00 + -0.015

Reorder the terms:
0.015 + -0.015 + 0.2t + t2 = 0.00 + -0.015

Combine like terms: 0.015 + -0.015 = 0.000
0.000 + 0.2t + t2 = 0.00 + -0.015
0.2t + t2 = 0.00 + -0.015

Combine like terms: 0.00 + -0.015 = -0.015
0.2t + t2 = -0.015

The t term is 0.2t.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2t + 0.01 + t2 = -0.015 + 0.01

Reorder the terms:
0.01 + 0.2t + t2 = -0.015 + 0.01

Combine like terms: -0.015 + 0.01 = -0.005
0.01 + 0.2t + t2 = -0.005

Factor a perfect square on the left side:
(t + 0.1)(t + 0.1) = -0.005

Can't calculate square root of the right side.

The solution to this equation could not be determined.