x(28x+23)=-4

Solution for x(28x+23)=-4 equation:

Simplifying
x(28x + 23) = -4

Reorder the terms:
x(23 + 28x) = -4
(23 * x + 28x * x) = -4
(23x + 28x2) = -4

Solving
23x + 28x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 23x + 28x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 23x + 28x2 = 0

Factor a trinomial.
(4 + 7x)(1 + 4x) = 0

Subproblem 1
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Subproblem 2
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
Solution
x = {-0.5714285714, -0.25}