-42i^2+45i-12=0

Solution for -42i^2+45i-12=0 equation:

Simplifying
-42i2 + 45i + -12 = 0

Reorder the terms:
-12 + 45i + -42i2 = 0

Solving
-12 + 45i + -42i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 15i + -14i2) = 0

Factor a trinomial.
3((-4 + 7i)(1 + -2i)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + 7i)' equal to zero and attempt to solve:

Simplifying
-4 + 7i = 0

Solving
-4 + 7i = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7i = 0 + 4
7i = 0 + 4

Combine like terms: 0 + 4 = 4
7i = 4

Divide each side by '7'.
i = 0.5714285714

Simplifying
i = 0.5714285714
Subproblem 2
Set the factor '(1 + -2i)' equal to zero and attempt to solve:

Simplifying
1 + -2i = 0

Solving
1 + -2i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5
Solution
i = {0.5714285714, 0.5}