3=16x-20x^2

Solution for 3=16x-20x^2 equation:

Simplifying
3 = 16x + -20x2

Solving
3 = 16x + -20x2

Solving for variable 'x'.

Reorder the terms:
3 + -16x + 20x2 = 16x + -16x + -20x2 + 20x2

Combine like terms: 16x + -16x = 0
3 + -16x + 20x2 = 0 + -20x2 + 20x2
3 + -16x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
3 + -16x + 20x2 = 0

Factor a trinomial.
(3 + -10x)(1 + -2x) = 0

Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0.3, 0.5}