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Simplifying (7x + 2y + 2)(-1xy) = 0 Reorder the terms: (2 + 7x + 2y)(-1xy) = 0 Remove parenthesis around (-1xy) (2 + 7x + 2y) * -1xy = 0 Reorder the terms for easier multiplication: -1xy(2 + 7x + 2y) = 0 (2 * -1xy + 7x * -1xy + 2y * -1xy) = 0 Reorder the terms: (-2xy + -2xy2 + -7x2y) = 0 (-2xy + -2xy2 + -7x2y) = 0 Solving -2xy + -2xy2 + -7x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1xy'. -1xy(2 + 2y + 7x) = 0 Ignore the factor -1.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 '(2 + 2y + 7x)' equal to zero and attempt to solve: Simplifying 2 + 2y + 7x = 0 Reorder the terms: 2 + 7x + 2y = 0 Solving 2 + 7x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7x + -2 + 2y = 0 + -2 Reorder the terms: 2 + -2 + 7x + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x + 2y = 0 + -2 7x + 2y = 0 + -2 Combine like terms: 0 + -2 = -2 7x + 2y = -2 Add '-2y' to each side of the equation. 7x + 2y + -2y = -2 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = -2 + -2y 7x = -2 + -2y Divide each side by '7'. x = -0.2857142857 + -0.2857142857y Simplifying x = -0.2857142857 + -0.2857142857ySolution
x = {-0.2857142857 + -0.2857142857y}
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