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Simplifying 4x + 2y = 5x * 8y Reorder the terms for easier multiplication: 4x + 2y = 5 * 8x * y Multiply 5 * 8 4x + 2y = 40x * y Multiply x * y 4x + 2y = 40xy Solving 4x + 2y = 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. 4x + -40xy + 2y = 40xy + -40xy Combine like terms: 40xy + -40xy = 0 4x + -40xy + 2y = 0 Add '-2y' to each side of the equation. 4x + -40xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 4x + -40xy + 0 = 0 + -2y 4x + -40xy = 0 + -2y Remove the zero: 4x + -40xy = -2y Combine like terms: -2y + 2y = 0 4x + -40xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2x + -20xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x + -20xy + y)' equal to zero and attempt to solve: Simplifying 2x + -20xy + y = 0 Solving 2x + -20xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + -20xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + -20xy + 0 = 0 + -1y 2x + -20xy = 0 + -1y Remove the zero: 2x + -20xy = -1y 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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