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Simplifying (6x2y + -3xy) + (10x2y + -4xy) = 0 Reorder the terms: (-3xy + 6x2y) + (10x2y + -4xy) = 0 Remove parenthesis around (-3xy + 6x2y) -3xy + 6x2y + (10x2y + -4xy) = 0 Reorder the terms: -3xy + 6x2y + (-4xy + 10x2y) = 0 Remove parenthesis around (-4xy + 10x2y) -3xy + 6x2y + -4xy + 10x2y = 0 Reorder the terms: -3xy + -4xy + 6x2y + 10x2y = 0 Combine like terms: -3xy + -4xy = -7xy -7xy + 6x2y + 10x2y = 0 Combine like terms: 6x2y + 10x2y = 16x2y -7xy + 16x2y = 0 Solving -7xy + 16x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-7 + 16x) = 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 '(-7 + 16x)' equal to zero and attempt to solve: Simplifying -7 + 16x = 0 Solving -7 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 0 + 7 16x = 0 + 7 Combine like terms: 0 + 7 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375Solution
x = {0.4375}
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