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Simplifying -3(4x + 9y + -7xy) = 0 Reorder the terms: -3(4x + -7xy + 9y) = 0 (4x * -3 + -7xy * -3 + 9y * -3) = 0 (-12x + 21xy + -27y) = 0 Solving -12x + 21xy + -27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. -12x + 21xy + -27y + 27y = 0 + 27y Combine like terms: -27y + 27y = 0 -12x + 21xy + 0 = 0 + 27y -12x + 21xy = 0 + 27y Remove the zero: -12x + 21xy = 27y Combine like terms: 27y + -27y = 0 -12x + 21xy + -27y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4x + 7xy + -9y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4x + 7xy + -9y)' equal to zero and attempt to solve: Simplifying -4x + 7xy + -9y = 0 Solving -4x + 7xy + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. -4x + 7xy + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -4x + 7xy + 0 = 0 + 9y -4x + 7xy = 0 + 9y Remove the zero: -4x + 7xy = 9y 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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