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Simplifying 2(-5i)(-2 + -7i) = 0 Remove parenthesis around (-5i) 2 * -5i(-2 + -7i) = 0 Multiply 2 * -5 -10i(-2 + -7i) = 0 (-2 * -10i + -7i * -10i) = 0 (20i + 70i2) = 0 Solving 20i + 70i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '10i'. 10i(2 + 7i) = 0 Ignore the factor 10.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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