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Simplifying i2 + 10i + -24 = 0 Reorder the terms: -24 + 10i + i2 = 0 Solving -24 + 10i + i2 = 0 Solving for variable 'i'. Factor a trinomial. (-12 + -1i)(2 + -1i) = 0Subproblem 1
Set the factor '(-12 + -1i)' equal to zero and attempt to solve: Simplifying -12 + -1i = 0 Solving -12 + -1i = 0 Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1i = 0 + 12 -1i = 0 + 12 Combine like terms: 0 + 12 = 12 -1i = 12 Divide each side by '-1'. i = -12 Simplifying i = -12Subproblem 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 = {-12, 2}
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