1.3=5*3x*(1-x)(4)

Solution for 1.3=5*3x*(1-x)(4) equation:

Simplifying
1.3 = 5 * 3x(1 + -1x)(4)

Reorder the terms for easier multiplication:
1.3 = 5 * 3 * 4x(1 + -1x)

Multiply 5 * 3
1.3 = 15 * 4x(1 + -1x)

Multiply 15 * 4
1.3 = 60x(1 + -1x)
1.3 = (1 * 60x + -1x * 60x)
1.3 = (60x + -60x2)

Solving
1.3 = 60x + -60x2

Solving for variable 'x'.

Reorder the terms:
1.3 + -60x + 60x2 = 60x + -60x + -60x2 + 60x2

Combine like terms: 60x + -60x = 0
1.3 + -60x + 60x2 = 0 + -60x2 + 60x2
1.3 + -60x + 60x2 = -60x2 + 60x2

Combine like terms: -60x2 + 60x2 = 0
1.3 + -60x + 60x2 = 0

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

Divide each side by '60'.
0.02166666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.02166666667' to each side of the equation.
0.02166666667 + -1x + -0.02166666667 + x2 = 0 + -0.02166666667

Reorder the terms:
0.02166666667 + -0.02166666667 + -1x + x2 = 0 + -0.02166666667

Combine like terms: 0.02166666667 + -0.02166666667 = 0.00000000000
0.00000000000 + -1x + x2 = 0 + -0.02166666667
-1x + x2 = 0 + -0.02166666667

Combine like terms: 0 + -0.02166666667 = -0.02166666667
-1x + x2 = -0.02166666667

The x term is -1x.  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.
-1x + 0.25 + x2 = -0.02166666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.02166666667 + 0.25

Combine like terms: -0.02166666667 + 0.25 = 0.22833333333
0.25 + -1x + x2 = 0.22833333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.22833333333

Calculate the square root of the right side: 0.477842373

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.477842373 and -0.477842373.

Subproblem 1
x + -0.5 = 0.477842373

Simplifying
x + -0.5 = 0.477842373

Reorder the terms:
-0.5 + x = 0.477842373

Solving
-0.5 + x = 0.477842373

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 0.477842373 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 0.477842373 + 0.5
x = 0.477842373 + 0.5

Combine like terms: 0.477842373 + 0.5 = 0.977842373
x = 0.977842373

Simplifying
x = 0.977842373

Subproblem 2
x + -0.5 = -0.477842373

Simplifying
x + -0.5 = -0.477842373

Reorder the terms:
-0.5 + x = -0.477842373

Solving
-0.5 + x = -0.477842373

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -0.477842373 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -0.477842373 + 0.5
x = -0.477842373 + 0.5

Combine like terms: -0.477842373 + 0.5 = 0.022157627
x = 0.022157627

Simplifying
x = 0.022157627

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.977842373, 0.022157627}