35j^2+9j-2=0

Solution for 35j^2+9j-2=0 equation:

Simplifying
35j2 + 9j + -2 = 0

Reorder the terms:
-2 + 9j + 35j2 = 0

Solving
-2 + 9j + 35j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-2 + -5j)(1 + -7j) = 0

Subproblem 1
Set the factor '(-2 + -5j)' equal to zero and attempt to solve:

Simplifying
-2 + -5j = 0

Solving
-2 + -5j = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5j = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5j = 0 + 2
-5j = 0 + 2

Combine like terms: 0 + 2 = 2
-5j = 2

Divide each side by '-5'.
j = -0.4

Simplifying
j = -0.4
Subproblem 2
Set the factor '(1 + -7j)' equal to zero and attempt to solve:

Simplifying
1 + -7j = 0

Solving
1 + -7j = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7j = 0 + -1
-7j = 0 + -1

Combine like terms: 0 + -1 = -1
-7j = -1

Divide each side by '-7'.
j = 0.1428571429

Simplifying
j = 0.1428571429
Solution
j = {-0.4, 0.1428571429}