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Simplifying 21xy3 + 14x2y + 16xy3 = 0 Reorder the terms: 21xy3 + 16xy3 + 14x2y = 0 Combine like terms: 21xy3 + 16xy3 = 37xy3 37xy3 + 14x2y = 0 Solving 37xy3 + 14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(37y2 + 14x) = 0Subproblem 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 '(37y2 + 14x)' equal to zero and attempt to solve: Simplifying 37y2 + 14x = 0 Reorder the terms: 14x + 37y2 = 0 Solving 14x + 37y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-37y2' to each side of the equation. 14x + 37y2 + -37y2 = 0 + -37y2 Combine like terms: 37y2 + -37y2 = 0 14x + 0 = 0 + -37y2 14x = 0 + -37y2 Remove the zero: 14x = -37y2 Divide each side by '14'. x = -2.642857143y2 Simplifying x = -2.642857143y2Solution
x = {-2.642857143y2}
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