50x^2+92x+42=0

Solution for 50x^2+92x+42=0 equation:

Simplifying
50x2 + 92x + 42 = 0

Reorder the terms:
42 + 92x + 50x2 = 0

Solving
42 + 92x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 46x + 25x2) = 0

Factor a trinomial.
2((1 + x)(21 + 25x)) = 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 '(21 + 25x)' equal to zero and attempt to solve:

Simplifying
21 + 25x = 0

Solving
21 + 25x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 25x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 25x = 0 + -21
25x = 0 + -21

Combine like terms: 0 + -21 = -21
25x = -21

Divide each side by '25'.
x = -0.84

Simplifying
x = -0.84
Solution
x = {-1, -0.84}