x(14x+23)+3=0

Solution for x(14x+23)+3=0 equation:

Simplifying
x(14x + 23) + 3 = 0

Reorder the terms:
x(23 + 14x) + 3 = 0
(23 * x + 14x * x) + 3 = 0
(23x + 14x2) + 3 = 0

Reorder the terms:
3 + 23x + 14x2 = 0

Solving
3 + 23x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 2x)(1 + 7x) = 0

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {-1.5, -0.1428571429}