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Simplifying 4x3 + 8x2y + -5xy2 = 4x3 + 8x2y + -5xy2 Reorder the terms: -5xy2 + 8x2y + 4x3 = 4x3 + 8x2y + -5xy2 Reorder the terms: -5xy2 + 8x2y + 4x3 = -5xy2 + 8x2y + 4x3 Add '5xy2' to each side of the equation. -5xy2 + 8x2y + 5xy2 + 4x3 = -5xy2 + 8x2y + 5xy2 + 4x3 Reorder the terms: -5xy2 + 5xy2 + 8x2y + 4x3 = -5xy2 + 8x2y + 5xy2 + 4x3 Combine like terms: -5xy2 + 5xy2 = 0 0 + 8x2y + 4x3 = -5xy2 + 8x2y + 5xy2 + 4x3 8x2y + 4x3 = -5xy2 + 8x2y + 5xy2 + 4x3 Reorder the terms: 8x2y + 4x3 = -5xy2 + 5xy2 + 8x2y + 4x3 Combine like terms: -5xy2 + 5xy2 = 0 8x2y + 4x3 = 0 + 8x2y + 4x3 8x2y + 4x3 = 8x2y + 4x3 Add '-8x2y' to each side of the equation. 8x2y + -8x2y + 4x3 = 8x2y + -8x2y + 4x3 Combine like terms: 8x2y + -8x2y = 0 0 + 4x3 = 8x2y + -8x2y + 4x3 4x3 = 8x2y + -8x2y + 4x3 Combine like terms: 8x2y + -8x2y = 0 4x3 = 0 + 4x3 4x3 = 4x3 Add '-4x3' to each side of the equation. 4x3 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 0 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 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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