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