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Simplifying 9x + 12xy + 6y2 = 0 Solving 9x + 12xy + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. 9x + 12xy + 6y2 + -6y2 = 0 + -6y2 Combine like terms: 6y2 + -6y2 = 0 9x + 12xy + 0 = 0 + -6y2 9x + 12xy = 0 + -6y2 Remove the zero: 9x + 12xy = -6y2 Combine like terms: -6y2 + 6y2 = 0 9x + 12xy + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3x + 4xy + 2y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3x + 4xy + 2y2)' equal to zero and attempt to solve: Simplifying 3x + 4xy + 2y2 = 0 Solving 3x + 4xy + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 3x + 4xy + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 3x + 4xy + 0 = 0 + -2y2 3x + 4xy = 0 + -2y2 Remove the zero: 3x + 4xy = -2y2 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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