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Simplifying (2 + -7i)(2 + -7i) = 0 Multiply (2 + -7i) * (2 + -7i) (2(2 + -7i) + -7i * (2 + -7i)) = 0 ((2 * 2 + -7i * 2) + -7i * (2 + -7i)) = 0 ((4 + -14i) + -7i * (2 + -7i)) = 0 (4 + -14i + (2 * -7i + -7i * -7i)) = 0 (4 + -14i + (-14i + 49i2)) = 0 Combine like terms: -14i + -14i = -28i (4 + -28i + 49i2) = 0 Solving 4 + -28i + 49i2 = 0 Solving for variable 'i'. Factor a trinomial. (2 + -7i)(2 + -7i) = 0Subproblem 1
Set the factor '(2 + -7i)' equal to zero and attempt to solve: Simplifying 2 + -7i = 0 Solving 2 + -7i = 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 + -7i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7i = 0 + -2 -7i = 0 + -2 Combine like terms: 0 + -2 = -2 -7i = -2 Divide each side by '-7'. i = 0.2857142857 Simplifying i = 0.2857142857Subproblem 2
Set the factor '(2 + -7i)' equal to zero and attempt to solve: Simplifying 2 + -7i = 0 Solving 2 + -7i = 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 + -7i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7i = 0 + -2 -7i = 0 + -2 Combine like terms: 0 + -2 = -2 -7i = -2 Divide each side by '-7'. i = 0.2857142857 Simplifying i = 0.2857142857Solution
i = {0.2857142857, 0.2857142857}
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