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Simplifying (3x2y + 4xy2 + -6y) + -1(-2xy2 + -5x2y + y) = 0 Reorder the terms: (4xy2 + 3x2y + -6y) + -1(-2xy2 + -5x2y + y) = 0 Remove parenthesis around (4xy2 + 3x2y + -6y) 4xy2 + 3x2y + -6y + -1(-2xy2 + -5x2y + y) = 0 4xy2 + 3x2y + -6y + (-2xy2 * -1 + -5x2y * -1 + y * -1) = 0 4xy2 + 3x2y + -6y + (2xy2 + 5x2y + -1y) = 0 Reorder the terms: 4xy2 + 2xy2 + 3x2y + 5x2y + -6y + -1y = 0 Combine like terms: 4xy2 + 2xy2 = 6xy2 6xy2 + 3x2y + 5x2y + -6y + -1y = 0 Combine like terms: 3x2y + 5x2y = 8x2y 6xy2 + 8x2y + -6y + -1y = 0 Combine like terms: -6y + -1y = -7y 6xy2 + 8x2y + -7y = 0 Solving 6xy2 + 8x2y + -7y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(6xy + 8x2 + -7) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(6xy + 8x2 + -7)' equal to zero and attempt to solve: Simplifying 6xy + 8x2 + -7 = 0 Reorder the terms: -7 + 6xy + 8x2 = 0 Solving -7 + 6xy + 8x2 = 0 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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