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Simplifying (3x2y + -4xy) + -1(5x2y + -7xy) = 0 Reorder the terms: (-4xy + 3x2y) + -1(5x2y + -7xy) = 0 Remove parenthesis around (-4xy + 3x2y) -4xy + 3x2y + -1(5x2y + -7xy) = 0 Reorder the terms: -4xy + 3x2y + -1(-7xy + 5x2y) = 0 -4xy + 3x2y + (-7xy * -1 + 5x2y * -1) = 0 -4xy + 3x2y + (7xy + -5x2y) = 0 Reorder the terms: -4xy + 7xy + 3x2y + -5x2y = 0 Combine like terms: -4xy + 7xy = 3xy 3xy + 3x2y + -5x2y = 0 Combine like terms: 3x2y + -5x2y = -2x2y 3xy + -2x2y = 0 Solving 3xy + -2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(3 + -2x) = 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5}
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