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Simplifying X2(4 + 2i + i2) = 0 (4 * X2 + 2i * X2 + i2 * X2) = 0 (4X2 + 2iX2 + i2X2) = 0 Solving 4X2 + 2iX2 + i2X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X2'. X2(4 + 2i + i2) = 0Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(4 + 2i + i2)' equal to zero and attempt to solve: Simplifying 4 + 2i + i2 = 0 Solving 4 + 2i + i2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2i + -4 + i2 = 0 + -4 Reorder the terms: 4 + -4 + 2i + i2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2i + i2 = 0 + -4 2i + i2 = 0 + -4 Combine like terms: 0 + -4 = -4 2i + i2 = -4 Add '-2i' to each side of the equation. 2i + -2i + i2 = -4 + -2i Combine like terms: 2i + -2i = 0 0 + i2 = -4 + -2i i2 = -4 + -2i Add '-1i2' to each side of the equation. i2 + -1i2 = -4 + -2i + -1i2 Combine like terms: i2 + -1i2 = 0 0 = -4 + -2i + -1i2 Simplifying 0 = -4 + -2i + -1i2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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