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Simplifying (3x + 5xy) + -1(6xy + -4x) = 0 Remove parenthesis around (3x + 5xy) 3x + 5xy + -1(6xy + -4x) = 0 Reorder the terms: 3x + 5xy + -1(-4x + 6xy) = 0 3x + 5xy + (-4x * -1 + 6xy * -1) = 0 3x + 5xy + (4x + -6xy) = 0 Reorder the terms: 3x + 4x + 5xy + -6xy = 0 Combine like terms: 3x + 4x = 7x 7x + 5xy + -6xy = 0 Combine like terms: 5xy + -6xy = -1xy 7x + -1xy = 0 Solving 7x + -1xy = 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), 'x'. x(7 + -1y) = 0Subproblem 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 '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Add 'y' to each side of the equation. -1y + y = -7 + y Combine like terms: -1y + y = 0 0 = -7 + y Simplifying 0 = -7 + y 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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