(-x+6)(16x+1)=0

Solution for (-x+6)(16x+1)=0 equation:

Simplifying
(-1x + 6)(16x + 1) = 0

Reorder the terms:
(6 + -1x)(16x + 1) = 0

Reorder the terms:
(6 + -1x)(1 + 16x) = 0

Multiply (6 + -1x) * (1 + 16x)
(6(1 + 16x) + -1x * (1 + 16x)) = 0
((1 * 6 + 16x * 6) + -1x * (1 + 16x)) = 0
((6 + 96x) + -1x * (1 + 16x)) = 0
(6 + 96x + (1 * -1x + 16x * -1x)) = 0
(6 + 96x + (-1x + -16x2)) = 0

Combine like terms: 96x + -1x = 95x
(6 + 95x + -16x2) = 0

Solving
6 + 95x + -16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(1 + 16x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(1 + 16x)' equal to zero and attempt to solve:

Simplifying
1 + 16x = 0

Solving
1 + 16x = 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 + 16x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16x = 0 + -1
16x = 0 + -1

Combine like terms: 0 + -1 = -1
16x = -1

Divide each side by '16'.
x = -0.0625

Simplifying
x = -0.0625
Solution
x = {6, -0.0625}