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Simplifying 7xy(5X + 8Y) = 0 (5X * 7xy + 8Y * 7xy) = 0 (35xyX + 56xyY) = 0 Solving 35xyX + 56xyY = 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), '7xy'. 7xy(5X + 8Y) = 0 Ignore the factor 7.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 '(5X + 8Y)' equal to zero and attempt to solve: Simplifying 5X + 8Y = 0 Solving 5X + 8Y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5X' to each side of the equation. 5X + -5X + 8Y = 0 + -5X Combine like terms: 5X + -5X = 0 0 + 8Y = 0 + -5X 8Y = 0 + -5X Remove the zero: 8Y = -5X Add '-8Y' to each side of the equation. 8Y + -8Y = -5X + -8Y Combine like terms: 8Y + -8Y = 0 0 = -5X + -8Y Simplifying 0 = -5X + -8Y 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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