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Simplifying 6i(2 + -7i) = 0 (2 * 6i + -7i * 6i) = 0 (12i + -42i2) = 0 Solving 12i + -42i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(2 + -7i) = 0 Ignore the factor 6.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 '(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, 0.2857142857}
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