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Simplifying (7 + -2i)(7 + -2i) = 0 Multiply (7 + -2i) * (7 + -2i) (7(7 + -2i) + -2i * (7 + -2i)) = 0 ((7 * 7 + -2i * 7) + -2i * (7 + -2i)) = 0 ((49 + -14i) + -2i * (7 + -2i)) = 0 (49 + -14i + (7 * -2i + -2i * -2i)) = 0 (49 + -14i + (-14i + 4i2)) = 0 Combine like terms: -14i + -14i = -28i (49 + -28i + 4i2) = 0 Solving 49 + -28i + 4i2 = 0 Solving for variable 'i'. Factor a trinomial. (7 + -2i)(7 + -2i) = 0Subproblem 1
Set the factor '(7 + -2i)' equal to zero and attempt to solve: Simplifying 7 + -2i = 0 Solving 7 + -2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2i = 0 + -7 -2i = 0 + -7 Combine like terms: 0 + -7 = -7 -2i = -7 Divide each side by '-2'. i = 3.5 Simplifying i = 3.5Subproblem 2
Set the factor '(7 + -2i)' equal to zero and attempt to solve: Simplifying 7 + -2i = 0 Solving 7 + -2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2i = 0 + -7 -2i = 0 + -7 Combine like terms: 0 + -7 = -7 -2i = -7 Divide each side by '-2'. i = 3.5 Simplifying i = 3.5Solution
i = {3.5, 3.5}
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