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Simplifying (5x + 4y)(25x2 + -20xy + 16y2) = 0 Reorder the terms: (5x + 4y)(-20xy + 25x2 + 16y2) = 0 Multiply (5x + 4y) * (-20xy + 25x2 + 16y2) (5x * (-20xy + 25x2 + 16y2) + 4y * (-20xy + 25x2 + 16y2)) = 0 ((-20xy * 5x + 25x2 * 5x + 16y2 * 5x) + 4y * (-20xy + 25x2 + 16y2)) = 0 Reorder the terms: ((80xy2 + -100x2y + 125x3) + 4y * (-20xy + 25x2 + 16y2)) = 0 ((80xy2 + -100x2y + 125x3) + 4y * (-20xy + 25x2 + 16y2)) = 0 (80xy2 + -100x2y + 125x3 + (-20xy * 4y + 25x2 * 4y + 16y2 * 4y)) = 0 (80xy2 + -100x2y + 125x3 + (-80xy2 + 100x2y + 64y3)) = 0 Reorder the terms: (80xy2 + -80xy2 + -100x2y + 100x2y + 125x3 + 64y3) = 0 Combine like terms: 80xy2 + -80xy2 = 0 (0 + -100x2y + 100x2y + 125x3 + 64y3) = 0 (-100x2y + 100x2y + 125x3 + 64y3) = 0 Combine like terms: -100x2y + 100x2y = 0 (0 + 125x3 + 64y3) = 0 (125x3 + 64y3) = 0 Solving 125x3 + 64y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64y3' to each side of the equation. 125x3 + 64y3 + -64y3 = 0 + -64y3 Combine like terms: 64y3 + -64y3 = 0 125x3 + 0 = 0 + -64y3 125x3 = 0 + -64y3 Remove the zero: 125x3 = -64y3 Divide each side by '125'. x3 = -0.512y3 Simplifying x3 = -0.512y3 Combine like terms: -0.512y3 + 0.512y3 = 0.000 x3 + 0.512y3 = 0.000 The solution to this equation could not be determined.
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