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Simplifying -5(6x + -1xy + 3y + 8x + -1xy) = 0 Reorder the terms: -5(6x + 8x + -1xy + -1xy + 3y) = 0 Combine like terms: 6x + 8x = 14x -5(14x + -1xy + -1xy + 3y) = 0 Combine like terms: -1xy + -1xy = -2xy -5(14x + -2xy + 3y) = 0 (14x * -5 + -2xy * -5 + 3y * -5) = 0 (-70x + 10xy + -15y) = 0 Solving -70x + 10xy + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. -70x + 10xy + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 -70x + 10xy + 0 = 0 + 15y -70x + 10xy = 0 + 15y Remove the zero: -70x + 10xy = 15y Combine like terms: 15y + -15y = 0 -70x + 10xy + -15y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-14x + 2xy + -3y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-14x + 2xy + -3y)' equal to zero and attempt to solve: Simplifying -14x + 2xy + -3y = 0 Solving -14x + 2xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -14x + 2xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -14x + 2xy + 0 = 0 + 3y -14x + 2xy = 0 + 3y Remove the zero: -14x + 2xy = 3y 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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