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Simplifying (7x2y + -4xy) + (10x2y + -8xy) = 0 Reorder the terms: (-4xy + 7x2y) + (10x2y + -8xy) = 0 Remove parenthesis around (-4xy + 7x2y) -4xy + 7x2y + (10x2y + -8xy) = 0 Reorder the terms: -4xy + 7x2y + (-8xy + 10x2y) = 0 Remove parenthesis around (-8xy + 10x2y) -4xy + 7x2y + -8xy + 10x2y = 0 Reorder the terms: -4xy + -8xy + 7x2y + 10x2y = 0 Combine like terms: -4xy + -8xy = -12xy -12xy + 7x2y + 10x2y = 0 Combine like terms: 7x2y + 10x2y = 17x2y -12xy + 17x2y = 0 Solving -12xy + 17x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-12 + 17x) = 0Subproblem 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 '(-12 + 17x)' equal to zero and attempt to solve: Simplifying -12 + 17x = 0 Solving -12 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17x = 0 + 12 17x = 0 + 12 Combine like terms: 0 + 12 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529Solution
x = {0.7058823529}
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