15X^2+14X+3=0

Solution for 15X^2+14X+3=0 equation:

Simplifying
15X2 + 14X + 3 = 0

Reorder the terms:
3 + 14X + 15X2 = 0

Solving
3 + 14X + 15X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(3 + 5X)(1 + 3X) = 0

Subproblem 1
Set the factor '(3 + 5X)' equal to zero and attempt to solve:

Simplifying
3 + 5X = 0

Solving
3 + 5X = 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 + 5X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5X = 0 + -3
5X = 0 + -3

Combine like terms: 0 + -3 = -3
5X = -3

Divide each side by '5'.
X = -0.6

Simplifying
X = -0.6
Subproblem 2
Set the factor '(1 + 3X)' equal to zero and attempt to solve:

Simplifying
1 + 3X = 0

Solving
1 + 3X = 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 + 3X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3X = 0 + -1
3X = 0 + -1

Combine like terms: 0 + -1 = -1
3X = -1

Divide each side by '3'.
X = -0.3333333333

Simplifying
X = -0.3333333333
Solution
X = {-0.6, -0.3333333333}