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