16x(x-1)=-3

Solution for 16x(x-1)=-3 equation:

Simplifying
16x(x + -1) = -3

Reorder the terms:
16x(-1 + x) = -3
(-1 * 16x + x * 16x) = -3
(-16x + 16x2) = -3

Solving
-16x + 16x2 = -3

Solving for variable 'x'.

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

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

Factor a trinomial.
(1 + -4x)(3 + -4x) = 0

Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0.25, 0.75}