(-3+2i)(-3+2i)=0

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Solution for (-3+2i)(-3+2i)=0 equation:


Simplifying
(-3 + 2i)(-3 + 2i) = 0

Multiply (-3 + 2i) * (-3 + 2i)
(-3(-3 + 2i) + 2i * (-3 + 2i)) = 0
((-3 * -3 + 2i * -3) + 2i * (-3 + 2i)) = 0
((9 + -6i) + 2i * (-3 + 2i)) = 0
(9 + -6i + (-3 * 2i + 2i * 2i)) = 0
(9 + -6i + (-6i + 4i2)) = 0

Combine like terms: -6i + -6i = -12i
(9 + -12i + 4i2) = 0

Solving
9 + -12i + 4i2 = 0

Solving for variable 'i'.

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

Subproblem 1

Set the factor '(3 + -2i)' equal to zero and attempt to solve: Simplifying 3 + -2i = 0 Solving 3 + -2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2i = 0 + -3 -2i = 0 + -3 Combine like terms: 0 + -3 = -3 -2i = -3 Divide each side by '-2'. i = 1.5 Simplifying i = 1.5

Subproblem 2

Set the factor '(3 + -2i)' equal to zero and attempt to solve: Simplifying 3 + -2i = 0 Solving 3 + -2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2i = 0 + -3 -2i = 0 + -3 Combine like terms: 0 + -3 = -3 -2i = -3 Divide each side by '-2'. i = 1.5 Simplifying i = 1.5

Solution

i = {1.5, 1.5}

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