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Simplifying 21x5y2 + 14x2y4 = 0 Reorder the terms: 14x2y4 + 21x5y2 = 0 Solving 14x2y4 + 21x5y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y2'. 7x2y2(2y2 + 3x3) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(2y2 + 3x3)' equal to zero and attempt to solve: Simplifying 2y2 + 3x3 = 0 Reorder the terms: 3x3 + 2y2 = 0 Solving 3x3 + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 3x3 + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 3x3 + 0 = 0 + -2y2 3x3 = 0 + -2y2 Remove the zero: 3x3 = -2y2 Divide each side by '3'. x3 = -0.6666666667y2 Simplifying x3 = -0.6666666667y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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