2x^2-(3+7i)-(3-9i)=0

Solution for 2x^2-(3+7i)-(3-9i)=0 equation:

Simplifying
2x2 + -1(3 + 7i) + -1(3 + -9i) = 0
2x2 + (3 * -1 + 7i * -1) + -1(3 + -9i) = 0
2x2 + (-3 + -7i) + -1(3 + -9i) = 0
2x2 + -3 + -7i + (3 * -1 + -9i * -1) = 0
2x2 + -3 + -7i + (-3 + 9i) = 0

Reorder the terms:
-3 + -3 + -7i + 9i + 2x2 = 0

Combine like terms: -3 + -3 = -6
-6 + -7i + 9i + 2x2 = 0

Combine like terms: -7i + 9i = 2i
-6 + 2i + 2x2 = 0

Solving
-6 + 2i + 2x2 = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 2i + 6 + 2x2 = 0 + 6

Reorder the terms:
-6 + 6 + 2i + 2x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2i + 2x2 = 0 + 6
2i + 2x2 = 0 + 6

Combine like terms: 0 + 6 = 6
2i + 2x2 = 6

Add '-2x2' to each side of the equation.
2i + 2x2 + -2x2 = 6 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2i + 0 = 6 + -2x2
2i = 6 + -2x2

Divide each side by '2'.
i = 3 + -1x2

Simplifying
i = 3 + -1x2