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Simplifying (3x + y)(2x + -1) + -1(3x + y) = 0 Reorder the terms: (3x + y)(-1 + 2x) + -1(3x + y) = 0 Multiply (3x + y) * (-1 + 2x) (3x * (-1 + 2x) + y(-1 + 2x)) + -1(3x + y) = 0 ((-1 * 3x + 2x * 3x) + y(-1 + 2x)) + -1(3x + y) = 0 ((-3x + 6x2) + y(-1 + 2x)) + -1(3x + y) = 0 (-3x + 6x2 + (-1 * y + 2x * y)) + -1(3x + y) = 0 Reorder the terms: (-3x + 6x2 + (2xy + -1y)) + -1(3x + y) = 0 (-3x + 6x2 + (2xy + -1y)) + -1(3x + y) = 0 Reorder the terms: (-3x + 2xy + 6x2 + -1y) + -1(3x + y) = 0 (-3x + 2xy + 6x2 + -1y) + -1(3x + y) = 0 -3x + 2xy + 6x2 + -1y + (3x * -1 + y * -1) = 0 -3x + 2xy + 6x2 + -1y + (-3x + -1y) = 0 Reorder the terms: -3x + -3x + 2xy + 6x2 + -1y + -1y = 0 Combine like terms: -3x + -3x = -6x -6x + 2xy + 6x2 + -1y + -1y = 0 Combine like terms: -1y + -1y = -2y -6x + 2xy + 6x2 + -2y = 0 Solving -6x + 2xy + 6x2 + -2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3x + xy + 3x2 + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3x + xy + 3x2 + -1y)' equal to zero and attempt to solve: Simplifying -3x + xy + 3x2 + -1y = 0 Solving -3x + xy + 3x2 + -1y = 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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