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Simplifying 5(2x + -5)(4y + 3) = 0 Reorder the terms: 5(-5 + 2x)(4y + 3) = 0 Reorder the terms: 5(-5 + 2x)(3 + 4y) = 0 Multiply (-5 + 2x) * (3 + 4y) 5(-5(3 + 4y) + 2x * (3 + 4y)) = 0 5((3 * -5 + 4y * -5) + 2x * (3 + 4y)) = 0 5((-15 + -20y) + 2x * (3 + 4y)) = 0 5(-15 + -20y + (3 * 2x + 4y * 2x)) = 0 5(-15 + -20y + (6x + 8xy)) = 0 Reorder the terms: 5(-15 + 6x + 8xy + -20y) = 0 5(-15 + 6x + 8xy + -20y) = 0 (-15 * 5 + 6x * 5 + 8xy * 5 + -20y * 5) = 0 (-75 + 30x + 40xy + -100y) = 0 Solving -75 + 30x + 40xy + -100y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 30x + 40xy + 75 + -100y = 0 + 75 Reorder the terms: -75 + 75 + 30x + 40xy + -100y = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 30x + 40xy + -100y = 0 + 75 30x + 40xy + -100y = 0 + 75 Combine like terms: 0 + 75 = 75 30x + 40xy + -100y = 75 Add '100y' to each side of the equation. 30x + 40xy + -100y + 100y = 75 + 100y Combine like terms: -100y + 100y = 0 30x + 40xy + 0 = 75 + 100y 30x + 40xy = 75 + 100y Reorder the terms: -75 + 30x + 40xy + -100y = 75 + 100y + -75 + -100y Reorder the terms: -75 + 30x + 40xy + -100y = 75 + -75 + 100y + -100y Combine like terms: 75 + -75 = 0 -75 + 30x + 40xy + -100y = 0 + 100y + -100y -75 + 30x + 40xy + -100y = 100y + -100y Combine like terms: 100y + -100y = 0 -75 + 30x + 40xy + -100y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-15 + 6x + 8xy + -20y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-15 + 6x + 8xy + -20y)' equal to zero and attempt to solve: Simplifying -15 + 6x + 8xy + -20y = 0 Solving -15 + 6x + 8xy + -20y = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 6x + 8xy + 15 + -20y = 0 + 15 Reorder the terms: -15 + 15 + 6x + 8xy + -20y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6x + 8xy + -20y = 0 + 15 6x + 8xy + -20y = 0 + 15 Combine like terms: 0 + 15 = 15 6x + 8xy + -20y = 15 Add '20y' to each side of the equation. 6x + 8xy + -20y + 20y = 15 + 20y Combine like terms: -20y + 20y = 0 6x + 8xy + 0 = 15 + 20y 6x + 8xy = 15 + 20y 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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