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Simplifying (8 + -7i)(1 + i) = 0 Multiply (8 + -7i) * (1 + i) (8(1 + i) + -7i * (1 + i)) = 0 ((1 * 8 + i * 8) + -7i * (1 + i)) = 0 ((8 + 8i) + -7i * (1 + i)) = 0 (8 + 8i + (1 * -7i + i * -7i)) = 0 (8 + 8i + (-7i + -7i2)) = 0 Combine like terms: 8i + -7i = 1i (8 + 1i + -7i2) = 0 Solving 8 + 1i + -7i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -7i)(1 + i) = 0Subproblem 1
Set the factor '(8 + -7i)' equal to zero and attempt to solve: Simplifying 8 + -7i = 0 Solving 8 + -7i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7i = 0 + -8 -7i = 0 + -8 Combine like terms: 0 + -8 = -8 -7i = -8 Divide each side by '-7'. i = 1.142857143 Simplifying i = 1.142857143Subproblem 2
Set the factor '(1 + i)' equal to zero and attempt to solve: Simplifying 1 + i = 0 Solving 1 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i = 0 + -1 i = 0 + -1 Combine like terms: 0 + -1 = -1 i = -1 Simplifying i = -1Solution
i = {1.142857143, -1}
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