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Simplifying (-4 + 11i)(-11 + 12i) = 0 Multiply (-4 + 11i) * (-11 + 12i) (-4(-11 + 12i) + 11i * (-11 + 12i)) = 0 ((-11 * -4 + 12i * -4) + 11i * (-11 + 12i)) = 0 ((44 + -48i) + 11i * (-11 + 12i)) = 0 (44 + -48i + (-11 * 11i + 12i * 11i)) = 0 (44 + -48i + (-121i + 132i2)) = 0 Combine like terms: -48i + -121i = -169i (44 + -169i + 132i2) = 0 Solving 44 + -169i + 132i2 = 0 Solving for variable 'i'. Factor a trinomial. (4 + -11i)(11 + -12i) = 0Subproblem 1
Set the factor '(4 + -11i)' equal to zero and attempt to solve: Simplifying 4 + -11i = 0 Solving 4 + -11i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11i = 0 + -4 -11i = 0 + -4 Combine like terms: 0 + -4 = -4 -11i = -4 Divide each side by '-11'. i = 0.3636363636 Simplifying i = 0.3636363636Subproblem 2
Set the factor '(11 + -12i)' equal to zero and attempt to solve: Simplifying 11 + -12i = 0 Solving 11 + -12i = 0 Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -12i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -12i = 0 + -11 -12i = 0 + -11 Combine like terms: 0 + -11 = -11 -12i = -11 Divide each side by '-12'. i = 0.9166666667 Simplifying i = 0.9166666667Solution
i = {0.3636363636, 0.9166666667}
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