28x^2+19x+3=3

Solution for 28x^2+19x+3=3 equation:

Simplifying
28x2 + 19x + 3 = 3

Reorder the terms:
3 + 19x + 28x2 = 3

Add '-3' to each side of the equation.
3 + 19x + -3 + 28x2 = 3 + -3

Reorder the terms:
3 + -3 + 19x + 28x2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 19x + 28x2 = 3 + -3
19x + 28x2 = 3 + -3

Combine like terms: 3 + -3 = 0
19x + 28x2 = 0

Solving
19x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 28x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(19 + 28x)' equal to zero and attempt to solve:

Simplifying
19 + 28x = 0

Solving
19 + 28x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 28x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 28x = 0 + -19
28x = 0 + -19

Combine like terms: 0 + -19 = -19
28x = -19

Divide each side by '28'.
x = -0.6785714286

Simplifying
x = -0.6785714286
Solution
x = {0, -0.6785714286}