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Simplifying (X3 + X2) + (2X3 + -5X2) = 0 Reorder the terms: (X2 + X3) + (2X3 + -5X2) = 0 Remove parenthesis around (X2 + X3) X2 + X3 + (2X3 + -5X2) = 0 Reorder the terms: X2 + X3 + (-5X2 + 2X3) = 0 Remove parenthesis around (-5X2 + 2X3) X2 + X3 + -5X2 + 2X3 = 0 Reorder the terms: X2 + -5X2 + X3 + 2X3 = 0 Combine like terms: X2 + -5X2 = -4X2 -4X2 + X3 + 2X3 = 0 Combine like terms: X3 + 2X3 = 3X3 -4X2 + 3X3 = 0 Solving -4X2 + 3X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(-4 + 3X) = 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 + 3X)' equal to zero and attempt to solve: Simplifying -4 + 3X = 0 Solving -4 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3X = 0 + 4 3X = 0 + 4 Combine like terms: 0 + 4 = 4 3X = 4 Divide each side by '3'. X = 1.333333333 Simplifying X = 1.333333333Solution
X = {0, 1.333333333}
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