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Simplifying 6x2y + 12xy2 = 2xy(3x + 6y) Reorder the terms: 12xy2 + 6x2y = 2xy(3x + 6y) 12xy2 + 6x2y = (3x * 2xy + 6y * 2xy) Reorder the terms: 12xy2 + 6x2y = (12xy2 + 6x2y) 12xy2 + 6x2y = (12xy2 + 6x2y) Add '-12xy2' to each side of the equation. 12xy2 + -12xy2 + 6x2y = 12xy2 + -12xy2 + 6x2y Combine like terms: 12xy2 + -12xy2 = 0 0 + 6x2y = 12xy2 + -12xy2 + 6x2y 6x2y = 12xy2 + -12xy2 + 6x2y Combine like terms: 12xy2 + -12xy2 = 0 6x2y = 0 + 6x2y 6x2y = 6x2y Add '-6x2y' to each side of the equation. 6x2y + -6x2y = 6x2y + -6x2y Combine like terms: 6x2y + -6x2y = 0 0 = 6x2y + -6x2y Combine like terms: 6x2y + -6x2y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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