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Simplifying -3(7xy + -4) + -4x(5y + -9) + 2y(4x + 3) = 0 Reorder the terms: -3(-4 + 7xy) + -4x(5y + -9) + 2y(4x + 3) = 0 (-4 * -3 + 7xy * -3) + -4x(5y + -9) + 2y(4x + 3) = 0 (12 + -21xy) + -4x(5y + -9) + 2y(4x + 3) = 0 Reorder the terms: 12 + -21xy + -4x(-9 + 5y) + 2y(4x + 3) = 0 12 + -21xy + (-9 * -4x + 5y * -4x) + 2y(4x + 3) = 0 12 + -21xy + (36x + -20xy) + 2y(4x + 3) = 0 Reorder the terms: 12 + -21xy + 36x + -20xy + 2y(3 + 4x) = 0 12 + -21xy + 36x + -20xy + (3 * 2y + 4x * 2y) = 0 Reorder the terms: 12 + -21xy + 36x + -20xy + (8xy + 6y) = 0 12 + -21xy + 36x + -20xy + (8xy + 6y) = 0 Reorder the terms: 12 + 36x + -21xy + -20xy + 8xy + 6y = 0 Combine like terms: -21xy + -20xy = -41xy 12 + 36x + -41xy + 8xy + 6y = 0 Combine like terms: -41xy + 8xy = -33xy 12 + 36x + -33xy + 6y = 0 Solving 12 + 36x + -33xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 36x + -33xy + -12 + 6y = 0 + -12 Reorder the terms: 12 + -12 + 36x + -33xy + 6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 36x + -33xy + 6y = 0 + -12 36x + -33xy + 6y = 0 + -12 Combine like terms: 0 + -12 = -12 36x + -33xy + 6y = -12 Add '-6y' to each side of the equation. 36x + -33xy + 6y + -6y = -12 + -6y Combine like terms: 6y + -6y = 0 36x + -33xy + 0 = -12 + -6y 36x + -33xy = -12 + -6y Reorder the terms: 12 + 36x + -33xy + 6y = -12 + -6y + 12 + 6y Reorder the terms: 12 + 36x + -33xy + 6y = -12 + 12 + -6y + 6y Combine like terms: -12 + 12 = 0 12 + 36x + -33xy + 6y = 0 + -6y + 6y 12 + 36x + -33xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 12 + 36x + -33xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 12x + -11xy + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + 12x + -11xy + 2y)' equal to zero and attempt to solve: Simplifying 4 + 12x + -11xy + 2y = 0 Solving 4 + 12x + -11xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12x + -11xy + -4 + 2y = 0 + -4 Reorder the terms: 4 + -4 + 12x + -11xy + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12x + -11xy + 2y = 0 + -4 12x + -11xy + 2y = 0 + -4 Combine like terms: 0 + -4 = -4 12x + -11xy + 2y = -4 Add '-2y' to each side of the equation. 12x + -11xy + 2y + -2y = -4 + -2y Combine like terms: 2y + -2y = 0 12x + -11xy + 0 = -4 + -2y 12x + -11xy = -4 + -2y 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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