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