2+7i-15i^2=

Solution for 2+7i-15i^2= equation:

Simplifying
2 + 7i + -15i2 = 0

Solving
2 + 7i + -15i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2 + -3i)(1 + 5i) = 0

Subproblem 1
Set the factor '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Subproblem 2
Set the factor '(1 + 5i)' equal to zero and attempt to solve:

Simplifying
1 + 5i = 0

Solving
1 + 5i = 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 + 5i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5i = 0 + -1
5i = 0 + -1

Combine like terms: 0 + -1 = -1
5i = -1

Divide each side by '5'.
i = -0.2

Simplifying
i = -0.2
Solution
i = {0.6666666667, -0.2}