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Simplifying i2 = 4i + -4 Reorder the terms: i2 = -4 + 4i Solving i2 = -4 + 4i Solving for variable 'i'. Reorder the terms: 4 + -4i + i2 = -4 + 4i + 4 + -4i Reorder the terms: 4 + -4i + i2 = -4 + 4 + 4i + -4i Combine like terms: -4 + 4 = 0 4 + -4i + i2 = 0 + 4i + -4i 4 + -4i + i2 = 4i + -4i Combine like terms: 4i + -4i = 0 4 + -4i + i2 = 0 Factor a trinomial. (2 + -1i)(2 + -1i) = 0Subproblem 1
Set the factor '(2 + -1i)' equal to zero and attempt to solve: Simplifying 2 + -1i = 0 Solving 2 + -1i = 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 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2Subproblem 2
Set the factor '(2 + -1i)' equal to zero and attempt to solve: Simplifying 2 + -1i = 0 Solving 2 + -1i = 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 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2Solution
i = {2, 2}
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