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Simplifying -3(-4x + 5y) + -3x(2 + 4y) = 0 (-4x * -3 + 5y * -3) + -3x(2 + 4y) = 0 (12x + -15y) + -3x(2 + 4y) = 0 12x + -15y + (2 * -3x + 4y * -3x) = 0 12x + -15y + (-6x + -12xy) = 0 Reorder the terms: 12x + -6x + -12xy + -15y = 0 Combine like terms: 12x + -6x = 6x 6x + -12xy + -15y = 0 Solving 6x + -12xy + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 6x + -12xy + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 6x + -12xy + 0 = 0 + 15y 6x + -12xy = 0 + 15y Remove the zero: 6x + -12xy = 15y Combine like terms: 15y + -15y = 0 6x + -12xy + -15y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2x + -4xy + -5y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2x + -4xy + -5y)' equal to zero and attempt to solve: Simplifying 2x + -4xy + -5y = 0 Solving 2x + -4xy + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -4xy + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + -4xy + 0 = 0 + 5y 2x + -4xy = 0 + 5y Remove the zero: 2x + -4xy = 5y 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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