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Simplifying (7x2y + -10xy) + (7x2y + -2xy) = 0 Reorder the terms: (-10xy + 7x2y) + (7x2y + -2xy) = 0 Remove parenthesis around (-10xy + 7x2y) -10xy + 7x2y + (7x2y + -2xy) = 0 Reorder the terms: -10xy + 7x2y + (-2xy + 7x2y) = 0 Remove parenthesis around (-2xy + 7x2y) -10xy + 7x2y + -2xy + 7x2y = 0 Reorder the terms: -10xy + -2xy + 7x2y + 7x2y = 0 Combine like terms: -10xy + -2xy = -12xy -12xy + 7x2y + 7x2y = 0 Combine like terms: 7x2y + 7x2y = 14x2y -12xy + 14x2y = 0 Solving -12xy + 14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-6 + 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 '(-6 + 7x)' equal to zero and attempt to solve: Simplifying -6 + 7x = 0 Solving -6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0.8571428571}
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