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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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