42e^2+11e-3=

Solution for 42e^2+11e-3= equation:

Simplifying
42e2 + 11e + -3 = 0

Reorder the terms:
-3 + 11e + 42e2 = 0

Solving
-3 + 11e + 42e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-3 + -7e)(1 + -6e) = 0

Subproblem 1
Set the factor '(-3 + -7e)' equal to zero and attempt to solve:

Simplifying
-3 + -7e = 0

Solving
-3 + -7e = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7e = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7e = 0 + 3
-7e = 0 + 3

Combine like terms: 0 + 3 = 3
-7e = 3

Divide each side by '-7'.
e = -0.4285714286

Simplifying
e = -0.4285714286
Subproblem 2
Set the factor '(1 + -6e)' equal to zero and attempt to solve:

Simplifying
1 + -6e = 0

Solving
1 + -6e = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6e = 0 + -1

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

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

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

Simplifying
e = 0.1666666667
Solution
e = {-0.4285714286, 0.1666666667}