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Simplifying -7(i)(1 + i) = 0 (1 * -7i + i * -7i) = 0 (-7i + -7i2) = 0 Solving -7i + -7i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-7i'. -7i(1 + i) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 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 = {0, -1}
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