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Simplifying (3xy + 6x2y2) + -1(5xy + -7x2y2) = 0 Remove parenthesis around (3xy + 6x2y2) 3xy + 6x2y2 + -1(5xy + -7x2y2) = 0 3xy + 6x2y2 + (5xy * -1 + -7x2y2 * -1) = 0 3xy + 6x2y2 + (-5xy + 7x2y2) = 0 Reorder the terms: 3xy + -5xy + 6x2y2 + 7x2y2 = 0 Combine like terms: 3xy + -5xy = -2xy -2xy + 6x2y2 + 7x2y2 = 0 Combine like terms: 6x2y2 + 7x2y2 = 13x2y2 -2xy + 13x2y2 = 0 Solving -2xy + 13x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-2 + 13xy) = 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 '(-2 + 13xy)' equal to zero and attempt to solve: Simplifying -2 + 13xy = 0 Solving -2 + 13xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13xy = 0 + 2 13xy = 0 + 2 Combine like terms: 0 + 2 = 2 13xy = 2 Divide each side by '13y'. x = 0.1538461538y-1 Simplifying x = 0.1538461538y-1Solution
x = {0.1538461538y-1}
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