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Simplifying 3(-4x + 7y) + -3x(2 + 3y) = 0 (-4x * 3 + 7y * 3) + -3x(2 + 3y) = 0 (-12x + 21y) + -3x(2 + 3y) = 0 -12x + 21y + (2 * -3x + 3y * -3x) = 0 -12x + 21y + (-6x + -9xy) = 0 Reorder the terms: -12x + -6x + -9xy + 21y = 0 Combine like terms: -12x + -6x = -18x -18x + -9xy + 21y = 0 Solving -18x + -9xy + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. -18x + -9xy + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 -18x + -9xy + 0 = 0 + -21y -18x + -9xy = 0 + -21y Remove the zero: -18x + -9xy = -21y Combine like terms: -21y + 21y = 0 -18x + -9xy + 21y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6x + -3xy + 7y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6x + -3xy + 7y)' equal to zero and attempt to solve: Simplifying -6x + -3xy + 7y = 0 Solving -6x + -3xy + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -6x + -3xy + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -6x + -3xy + 0 = 0 + -7y -6x + -3xy = 0 + -7y Remove the zero: -6x + -3xy = -7y 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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