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Simplifying (4i)(-10i) = quation Remove parenthesis around (4i) 4i(-10i) = quation Remove parenthesis around (-10i) 4i * -10i = quation Reorder the terms for easier multiplication: 4 * -10i * i = quation Multiply 4 * -10 -40i * i = quation Multiply i * i -40i2 = quation Solving -40i2 = ainoqtu Solving for variable 'i'. Reorder the terms: -1ainoqtu + -40i2 = ainoqtu + -1ainoqtu Combine like terms: ainoqtu + -1ainoqtu = 0 -1ainoqtu + -40i2 = 0 Factor out the Greatest Common Factor (GCF), '-1i'. -1i(anoqtu + 40i) = 0 Ignore the factor -1.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 '(anoqtu + 40i)' equal to zero and attempt to solve: Simplifying anoqtu + 40i = 0 Solving anoqtu + 40i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1anoqtu' to each side of the equation. anoqtu + -1anoqtu + 40i = 0 + -1anoqtu Combine like terms: anoqtu + -1anoqtu = 0 0 + 40i = 0 + -1anoqtu 40i = 0 + -1anoqtu Remove the zero: 40i = -1anoqtu Divide each side by '40'. i = -0.025anoqtu Simplifying i = -0.025anoqtuSolution
i = {0, -0.025anoqtu}
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