42x^2-19x=-2

Solution for 42x^2-19x=-2 equation:

Simplifying
42x2 + -19x = -2

Reorder the terms:
-19x + 42x2 = -2

Solving
-19x + 42x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -19x + 42x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -19x + 42x2 = 0

Factor a trinomial.
(1 + -6x)(2 + -7x) = 0

Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {0.1666666667, 0.2857142857}