30x^2+32x+2=0

Solution for 30x^2+32x+2=0 equation:

Simplifying
30x2 + 32x + 2 = 0

Reorder the terms:
2 + 32x + 30x2 = 0

Solving
2 + 32x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 16x + 15x2) = 0

Factor a trinomial.
2((1 + x)(1 + 15x)) = 0

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(1 + 15x)' equal to zero and attempt to solve:

Simplifying
1 + 15x = 0

Solving
1 + 15x = 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 + 15x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15x = 0 + -1
15x = 0 + -1

Combine like terms: 0 + -1 = -1
15x = -1

Divide each side by '15'.
x = -0.06666666667

Simplifying
x = -0.06666666667
Solution
x = {-1, -0.06666666667}