(12x+23)(16x-1)=

Solution for (12x+23)(16x-1)= equation:

Simplifying
(12x + 23)(16x + -1) = 0

Reorder the terms:
(23 + 12x)(16x + -1) = 0

Reorder the terms:
(23 + 12x)(-1 + 16x) = 0

Multiply (23 + 12x) * (-1 + 16x)
(23(-1 + 16x) + 12x * (-1 + 16x)) = 0
((-1 * 23 + 16x * 23) + 12x * (-1 + 16x)) = 0
((-23 + 368x) + 12x * (-1 + 16x)) = 0
(-23 + 368x + (-1 * 12x + 16x * 12x)) = 0
(-23 + 368x + (-12x + 192x2)) = 0

Combine like terms: 368x + -12x = 356x
(-23 + 356x + 192x2) = 0

Solving
-23 + 356x + 192x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -12x)(1 + -16x) = 0

Subproblem 1
Set the factor '(-23 + -12x)' equal to zero and attempt to solve:

Simplifying
-23 + -12x = 0

Solving
-23 + -12x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -12x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -12x = 0 + 23
-12x = 0 + 23

Combine like terms: 0 + 23 = 23
-12x = 23

Divide each side by '-12'.
x = -1.916666667

Simplifying
x = -1.916666667
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 = {-1.916666667, 0.0625}