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Simplifying 0 = 14x3y + -7x2y2 Reorder the terms: 0 = -7x2y2 + 14x3y Solving 0 = -7x2y2 + 14x3y Solving for variable 'x'. Remove the zero: 7x2y2 + -14x3y = -7x2y2 + 14x3y + 7x2y2 + -14x3y Reorder the terms: 7x2y2 + -14x3y = -7x2y2 + 7x2y2 + 14x3y + -14x3y Combine like terms: -7x2y2 + 7x2y2 = 0 7x2y2 + -14x3y = 0 + 14x3y + -14x3y 7x2y2 + -14x3y = 14x3y + -14x3y Combine like terms: 14x3y + -14x3y = 0 7x2y2 + -14x3y = 0 Factor out the Greatest Common Factor (GCF), '7x2y'. 7x2y(y + -2x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + -2x)' equal to zero and attempt to solve: Simplifying y + -2x = 0 Reorder the terms: -2x + y = 0 Solving -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -2x + 0 = 0 + -1y -2x = 0 + -1y Remove the zero: -2x = -1y Divide each side by '-2'. x = 0.5y Simplifying x = 0.5ySolution
x = {0.5y}
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