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Simplifying 7xy4 + 14x3y2 = 0 Solving 7xy4 + 14x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7xy2'. 7xy2(y2 + 2x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(y2 + 2x2)' equal to zero and attempt to solve: Simplifying y2 + 2x2 = 0 Reorder the terms: 2x2 + y2 = 0 Solving 2x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 2x2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 2x2 + 0 = 0 + -1y2 2x2 = 0 + -1y2 Remove the zero: 2x2 = -1y2 Divide each side by '2'. x2 = -0.5y2 Simplifying x2 = -0.5y2 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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