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Simplifying 5x(3 + -1y) + xy + -2(6x + -5xy) = 0 (3 * 5x + -1y * 5x) + xy + -2(6x + -5xy) = 0 (15x + -5xy) + xy + -2(6x + -5xy) = 0 15x + -5xy + xy + (6x * -2 + -5xy * -2) = 0 15x + -5xy + xy + (-12x + 10xy) = 0 Reorder the terms: 15x + -12x + -5xy + xy + 10xy = 0 Combine like terms: 15x + -12x = 3x 3x + -5xy + xy + 10xy = 0 Combine like terms: -5xy + xy = -4xy 3x + -4xy + 10xy = 0 Combine like terms: -4xy + 10xy = 6xy 3x + 6xy = 0 Solving 3x + 6xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Add '-2y' to each side of the equation. 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 0 = -1 + -2y Simplifying 0 = -1 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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