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Simplifying 5[X(2 + Y)] = 0 5[(2 * X + Y * X)] = 0 5[(2X + XY)] = 0 [2X * 5 + XY * 5] = 0 [10X + 5XY] = 0 Solving 10X + 5XY = 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), '5X'. 5X(2 + Y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(2 + Y)' equal to zero and attempt to solve: Simplifying 2 + Y = 0 Solving 2 + Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + Y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Y = 0 + -2 Y = 0 + -2 Combine like terms: 0 + -2 = -2 Y = -2 Add '-1Y' to each side of the equation. Y + -1Y = -2 + -1Y Combine like terms: Y + -1Y = 0 0 = -2 + -1Y Simplifying 0 = -2 + -1Y 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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