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Simplifying 7xy2 + -5xy(2 + -1y) = 0 7xy2 + (2 * -5xy + -1y * -5xy) = 0 7xy2 + (-10xy + 5xy2) = 0 Reorder the terms: -10xy + 7xy2 + 5xy2 = 0 Combine like terms: 7xy2 + 5xy2 = 12xy2 -10xy + 12xy2 = 0 Solving -10xy + 12xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5 + 6y) = 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 '(-5 + 6y)' equal to zero and attempt to solve: Simplifying -5 + 6y = 0 Solving -5 + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6y = 0 + 5 6y = 0 + 5 Combine like terms: 0 + 5 = 5 6y = 5 Add '-6y' to each side of the equation. 6y + -6y = 5 + -6y Combine like terms: 6y + -6y = 0 0 = 5 + -6y Simplifying 0 = 5 + -6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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