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Simplifying (4x + -5y)(16x2 + 20xy + 25y2) = 0 Reorder the terms: (4x + -5y)(20xy + 16x2 + 25y2) = 0 Multiply (4x + -5y) * (20xy + 16x2 + 25y2) (4x * (20xy + 16x2 + 25y2) + -5y * (20xy + 16x2 + 25y2)) = 0 ((20xy * 4x + 16x2 * 4x + 25y2 * 4x) + -5y * (20xy + 16x2 + 25y2)) = 0 Reorder the terms: ((100xy2 + 80x2y + 64x3) + -5y * (20xy + 16x2 + 25y2)) = 0 ((100xy2 + 80x2y + 64x3) + -5y * (20xy + 16x2 + 25y2)) = 0 (100xy2 + 80x2y + 64x3 + (20xy * -5y + 16x2 * -5y + 25y2 * -5y)) = 0 (100xy2 + 80x2y + 64x3 + (-100xy2 + -80x2y + -125y3)) = 0 Reorder the terms: (100xy2 + -100xy2 + 80x2y + -80x2y + 64x3 + -125y3) = 0 Combine like terms: 100xy2 + -100xy2 = 0 (0 + 80x2y + -80x2y + 64x3 + -125y3) = 0 (80x2y + -80x2y + 64x3 + -125y3) = 0 Combine like terms: 80x2y + -80x2y = 0 (0 + 64x3 + -125y3) = 0 (64x3 + -125y3) = 0 Solving 64x3 + -125y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125y3' to each side of the equation. 64x3 + -125y3 + 125y3 = 0 + 125y3 Combine like terms: -125y3 + 125y3 = 0 64x3 + 0 = 0 + 125y3 64x3 = 0 + 125y3 Remove the zero: 64x3 = 125y3 Divide each side by '64'. x3 = 1.953125y3 Simplifying x3 = 1.953125y3 Combine like terms: 1.953125y3 + -1.953125y3 = 0.000000 x3 + -1.953125y3 = 0.000000 The solution to this equation could not be determined.
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