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Simplifying 0 = (x2 + -5xy2 + y3) + -1(8x3 + -1y3) Reorder the terms: 0 = (-5xy2 + x2 + y3) + -1(8x3 + -1y3) Remove parenthesis around (-5xy2 + x2 + y3) 0 = -5xy2 + x2 + y3 + -1(8x3 + -1y3) 0 = -5xy2 + x2 + y3 + (8x3 * -1 + -1y3 * -1) 0 = -5xy2 + x2 + y3 + (-8x3 + 1y3) Reorder the terms: 0 = -5xy2 + x2 + -8x3 + y3 + 1y3 Combine like terms: y3 + 1y3 = 2y3 0 = -5xy2 + x2 + -8x3 + 2y3 Solving 0 = -5xy2 + x2 + -8x3 + 2y3 Solving for variable 'x'. Remove the zero: 5xy2 + -1x2 + 8x3 + -2y3 = -5xy2 + x2 + -8x3 + 2y3 + 5xy2 + -1x2 + 8x3 + -2y3 Reorder the terms: 5xy2 + -1x2 + 8x3 + -2y3 = -5xy2 + 5xy2 + x2 + -1x2 + -8x3 + 8x3 + 2y3 + -2y3 Combine like terms: -5xy2 + 5xy2 = 0 5xy2 + -1x2 + 8x3 + -2y3 = 0 + x2 + -1x2 + -8x3 + 8x3 + 2y3 + -2y3 5xy2 + -1x2 + 8x3 + -2y3 = x2 + -1x2 + -8x3 + 8x3 + 2y3 + -2y3 Combine like terms: x2 + -1x2 = 0 5xy2 + -1x2 + 8x3 + -2y3 = 0 + -8x3 + 8x3 + 2y3 + -2y3 5xy2 + -1x2 + 8x3 + -2y3 = -8x3 + 8x3 + 2y3 + -2y3 Combine like terms: -8x3 + 8x3 = 0 5xy2 + -1x2 + 8x3 + -2y3 = 0 + 2y3 + -2y3 5xy2 + -1x2 + 8x3 + -2y3 = 2y3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 5xy2 + -1x2 + 8x3 + -2y3 = 0 The solution to this equation could not be determined.
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