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Simplifying 4(7x + 3y) = 40xy (7x * 4 + 3y * 4) = 40xy (28x + 12y) = 40xy Solving 28x + 12y = 40xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40xy' to each side of the equation. 28x + -40xy + 12y = 40xy + -40xy Combine like terms: 40xy + -40xy = 0 28x + -40xy + 12y = 0 Add '-12y' to each side of the equation. 28x + -40xy + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 28x + -40xy + 0 = 0 + -12y 28x + -40xy = 0 + -12y Remove the zero: 28x + -40xy = -12y Combine like terms: -12y + 12y = 0 28x + -40xy + 12y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7x + -10xy + 3y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7x + -10xy + 3y)' equal to zero and attempt to solve: Simplifying 7x + -10xy + 3y = 0 Solving 7x + -10xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 7x + -10xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 7x + -10xy + 0 = 0 + -3y 7x + -10xy = 0 + -3y Remove the zero: 7x + -10xy = -3y 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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