20-16t(16t)+32t=

Solution for 20-16t(16t)+32t= equation:

Simplifying
20 + -16t(16t) + 32t = 0

Remove parenthesis around (16t)
20 + -16t * 16t + 32t = 0

Reorder the terms for easier multiplication:
20 + -16 * 16t * t + 32t = 0

Multiply -16 * 16
20 + -256t * t + 32t = 0

Multiply t * t
20 + -256t2 + 32t = 0

Reorder the terms:
20 + 32t + -256t2 = 0

Solving
20 + 32t + -256t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 8t + -64t2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(5 + 8t + -64t2)' equal to zero and attempt to solve:

Simplifying
5 + 8t + -64t2 = 0

Solving
5 + 8t + -64t2 = 0

Begin completing the square.  Divide all terms by
-64 the coefficient of the squared term: 

Divide each side by '-64'.
-0.078125 + -0.125t + t2 = 0

Move the constant term to the right:

Add '0.078125' to each side of the equation.
-0.078125 + -0.125t + 0.078125 + t2 = 0 + 0.078125

Reorder the terms:
-0.078125 + 0.078125 + -0.125t + t2 = 0 + 0.078125

Combine like terms: -0.078125 + 0.078125 = 0.000000
0.000000 + -0.125t + t2 = 0 + 0.078125
-0.125t + t2 = 0 + 0.078125

Combine like terms: 0 + 0.078125 = 0.078125
-0.125t + t2 = 0.078125

The t term is -0.125t.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125t + 0.00390625 + t2 = 0.078125 + 0.00390625

Reorder the terms:
0.00390625 + -0.125t + t2 = 0.078125 + 0.00390625

Combine like terms: 0.078125 + 0.00390625 = 0.08203125
0.00390625 + -0.125t + t2 = 0.08203125

Factor a perfect square on the left side:
(t + -0.0625)(t + -0.0625) = 0.08203125

Calculate the square root of the right side: 0.286410981

Break this problem into two subproblems by setting 
(t + -0.0625) equal to 0.286410981 and -0.286410981.

Subproblem 1
t + -0.0625 = 0.286410981

Simplifying
t + -0.0625 = 0.286410981

Reorder the terms:
-0.0625 + t = 0.286410981

Solving
-0.0625 + t = 0.286410981

Solving for variable 't'.

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

Add '0.0625' to each side of the equation.
-0.0625 + 0.0625 + t = 0.286410981 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + t = 0.286410981 + 0.0625
t = 0.286410981 + 0.0625

Combine like terms: 0.286410981 + 0.0625 = 0.348910981
t = 0.348910981

Simplifying
t = 0.348910981

Subproblem 2
t + -0.0625 = -0.286410981

Simplifying
t + -0.0625 = -0.286410981

Reorder the terms:
-0.0625 + t = -0.286410981

Solving
-0.0625 + t = -0.286410981

Solving for variable 't'.

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

Add '0.0625' to each side of the equation.
-0.0625 + 0.0625 + t = -0.286410981 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + t = -0.286410981 + 0.0625
t = -0.286410981 + 0.0625

Combine like terms: -0.286410981 + 0.0625 = -0.223910981
t = -0.223910981

Simplifying
t = -0.223910981

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.348910981, -0.223910981}
Solution
t = {0.348910981, -0.223910981}