45=5t(1-5t)

Solution for 45=5t(1-5t) equation:

Simplifying
45 = 5t(1 + -5t)
45 = (1 * 5t + -5t * 5t)
45 = (5t + -25t2)

Solving
45 = 5t + -25t2

Solving for variable 't'.

Reorder the terms:
45 + -5t + 25t2 = 5t + -5t + -25t2 + 25t2

Combine like terms: 5t + -5t = 0
45 + -5t + 25t2 = 0 + -25t2 + 25t2
45 + -5t + 25t2 = -25t2 + 25t2

Combine like terms: -25t2 + 25t2 = 0
45 + -5t + 25t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + -1t + 5t2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(9 + -1t + 5t2)' equal to zero and attempt to solve:

Simplifying
9 + -1t + 5t2 = 0

Solving
9 + -1t + 5t2 = 0

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

Divide each side by '5'.
1.8 + -0.2t + t2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.2t + -1.8 + t2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.2t + t2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.2t + t2 = 0 + -1.8
-0.2t + t2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.2t + t2 = -1.8

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 = -1.8 + 0.01

Reorder the terms:
0.01 + -0.2t + t2 = -1.8 + 0.01

Combine like terms: -1.8 + 0.01 = -1.79
0.01 + -0.2t + t2 = -1.79

Factor a perfect square on the left side:
(t + -0.1)(t + -0.1) = -1.79

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.