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Simplifying 5x2y + (2xy2 + x2y) = 0 Remove parenthesis around (2xy2 + x2y) 5x2y + 2xy2 + x2y = 0 Reorder the terms: 2xy2 + 5x2y + x2y = 0 Combine like terms: 5x2y + x2y = 6x2y 2xy2 + 6x2y = 0 Solving 2xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(y + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 3x)' equal to zero and attempt to solve: Simplifying y + 3x = 0 Reorder the terms: 3x + y = 0 Solving 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333ySolution
x = {-0.3333333333y}
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