28x^2+20x+3=0

Solution for 28x^2+20x+3=0 equation:

Simplifying
28x2 + 20x + 3 = 0

Reorder the terms:
3 + 20x + 28x2 = 0

Solving
3 + 20x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 2x)(3 + 14x) = 0

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(3 + 14x)' equal to zero and attempt to solve:

Simplifying
3 + 14x = 0

Solving
3 + 14x = 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 + 14x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 0 + -3
14x = 0 + -3

Combine like terms: 0 + -3 = -3
14x = -3

Divide each side by '14'.
x = -0.2142857143

Simplifying
x = -0.2142857143
Solution
x = {-0.5, -0.2142857143}