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Simplifying -2xy(7x + y) = 0 (7x * -2xy + y * -2xy) = 0 Reorder the terms: (-2xy2 + -14x2y) = 0 (-2xy2 + -14x2y) = 0 Solving -2xy2 + -14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(y + 7x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 7x)' equal to zero and attempt to solve: Simplifying y + 7x = 0 Reorder the terms: 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429ySolution
x = {-0.1428571429y}
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