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Simplifying (100 + -25x)(3y + 10) = 0 Reorder the terms: (100 + -25x)(10 + 3y) = 0 Multiply (100 + -25x) * (10 + 3y) (100(10 + 3y) + -25x * (10 + 3y)) = 0 ((10 * 100 + 3y * 100) + -25x * (10 + 3y)) = 0 ((1000 + 300y) + -25x * (10 + 3y)) = 0 (1000 + 300y + (10 * -25x + 3y * -25x)) = 0 (1000 + 300y + (-250x + -75xy)) = 0 Reorder the terms: (1000 + -250x + -75xy + 300y) = 0 (1000 + -250x + -75xy + 300y) = 0 Solving 1000 + -250x + -75xy + 300y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -250x + -75xy + -1000 + 300y = 0 + -1000 Reorder the terms: 1000 + -1000 + -250x + -75xy + 300y = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -250x + -75xy + 300y = 0 + -1000 -250x + -75xy + 300y = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -250x + -75xy + 300y = -1000 Add '-300y' to each side of the equation. -250x + -75xy + 300y + -300y = -1000 + -300y Combine like terms: 300y + -300y = 0 -250x + -75xy + 0 = -1000 + -300y -250x + -75xy = -1000 + -300y Reorder the terms: 1000 + -250x + -75xy + 300y = -1000 + -300y + 1000 + 300y Reorder the terms: 1000 + -250x + -75xy + 300y = -1000 + 1000 + -300y + 300y Combine like terms: -1000 + 1000 = 0 1000 + -250x + -75xy + 300y = 0 + -300y + 300y 1000 + -250x + -75xy + 300y = -300y + 300y Combine like terms: -300y + 300y = 0 1000 + -250x + -75xy + 300y = 0 Factor out the Greatest Common Factor (GCF), '25'. 25(40 + -10x + -3xy + 12y) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(40 + -10x + -3xy + 12y)' equal to zero and attempt to solve: Simplifying 40 + -10x + -3xy + 12y = 0 Solving 40 + -10x + -3xy + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -10x + -3xy + -40 + 12y = 0 + -40 Reorder the terms: 40 + -40 + -10x + -3xy + 12y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10x + -3xy + 12y = 0 + -40 -10x + -3xy + 12y = 0 + -40 Combine like terms: 0 + -40 = -40 -10x + -3xy + 12y = -40 Add '-12y' to each side of the equation. -10x + -3xy + 12y + -12y = -40 + -12y Combine like terms: 12y + -12y = 0 -10x + -3xy + 0 = -40 + -12y -10x + -3xy = -40 + -12y 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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