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Simplifying (6x + 4)(5y + -5) = 0 Reorder the terms: (4 + 6x)(5y + -5) = 0 Reorder the terms: (4 + 6x)(-5 + 5y) = 0 Multiply (4 + 6x) * (-5 + 5y) (4(-5 + 5y) + 6x * (-5 + 5y)) = 0 ((-5 * 4 + 5y * 4) + 6x * (-5 + 5y)) = 0 ((-20 + 20y) + 6x * (-5 + 5y)) = 0 (-20 + 20y + (-5 * 6x + 5y * 6x)) = 0 (-20 + 20y + (-30x + 30xy)) = 0 Reorder the terms: (-20 + -30x + 30xy + 20y) = 0 (-20 + -30x + 30xy + 20y) = 0 Solving -20 + -30x + 30xy + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -30x + 30xy + 20 + 20y = 0 + 20 Reorder the terms: -20 + 20 + -30x + 30xy + 20y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -30x + 30xy + 20y = 0 + 20 -30x + 30xy + 20y = 0 + 20 Combine like terms: 0 + 20 = 20 -30x + 30xy + 20y = 20 Add '-20y' to each side of the equation. -30x + 30xy + 20y + -20y = 20 + -20y Combine like terms: 20y + -20y = 0 -30x + 30xy + 0 = 20 + -20y -30x + 30xy = 20 + -20y Reorder the terms: -20 + -30x + 30xy + 20y = 20 + -20y + -20 + 20y Reorder the terms: -20 + -30x + 30xy + 20y = 20 + -20 + -20y + 20y Combine like terms: 20 + -20 = 0 -20 + -30x + 30xy + 20y = 0 + -20y + 20y -20 + -30x + 30xy + 20y = -20y + 20y Combine like terms: -20y + 20y = 0 -20 + -30x + 30xy + 20y = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-2 + -3x + 3xy + 2y) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-2 + -3x + 3xy + 2y)' equal to zero and attempt to solve: Simplifying -2 + -3x + 3xy + 2y = 0 Solving -2 + -3x + 3xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 3xy + 2 + 2y = 0 + 2 Reorder the terms: -2 + 2 + -3x + 3xy + 2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 3xy + 2y = 0 + 2 -3x + 3xy + 2y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 3xy + 2y = 2 Add '-2y' to each side of the equation. -3x + 3xy + 2y + -2y = 2 + -2y Combine like terms: 2y + -2y = 0 -3x + 3xy + 0 = 2 + -2y -3x + 3xy = 2 + -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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