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Simplifying x2y + 3xy + -7x2 + -21x = 0 Reorder the terms: -21x + 3xy + -7x2 + x2y = 0 Solving -21x + 3xy + -7x2 + x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + 3y + -7x + xy) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-21 + 3y + -7x + xy)' equal to zero and attempt to solve: Simplifying -21 + 3y + -7x + xy = 0 Reorder the terms: -21 + -7x + xy + 3y = 0 Solving -21 + -7x + xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -7x + xy + 21 + 3y = 0 + 21 Reorder the terms: -21 + 21 + -7x + xy + 3y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7x + xy + 3y = 0 + 21 -7x + xy + 3y = 0 + 21 Combine like terms: 0 + 21 = 21 -7x + xy + 3y = 21 Add '-3y' to each side of the equation. -7x + xy + 3y + -3y = 21 + -3y Combine like terms: 3y + -3y = 0 -7x + xy + 0 = 21 + -3y -7x + xy = 21 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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