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Simplifying -7x(6xy + 6y + -3x) = 0 Reorder the terms: -7x(-3x + 6xy + 6y) = 0 (-3x * -7x + 6xy * -7x + 6y * -7x) = 0 Reorder the terms: (-42xy + 21x2 + -42x2y) = 0 (-42xy + 21x2 + -42x2y) = 0 Solving -42xy + 21x2 + -42x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '21x'. 21x(-2y + x + -2xy) = 0 Ignore the factor 21.Subproblem 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 '(-2y + x + -2xy)' equal to zero and attempt to solve: Simplifying -2y + x + -2xy = 0 Reorder the terms: x + -2xy + -2y = 0 Solving x + -2xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2xy + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + -2xy + 0 = 0 + 2y x + -2xy = 0 + 2y Remove the zero: x + -2xy = 2y 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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