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Simplifying (6x + 3y)(8x2 + -4xy + 2y2) = 0 Reorder the terms: (6x + 3y)(-4xy + 8x2 + 2y2) = 0 Multiply (6x + 3y) * (-4xy + 8x2 + 2y2) (6x * (-4xy + 8x2 + 2y2) + 3y * (-4xy + 8x2 + 2y2)) = 0 ((-4xy * 6x + 8x2 * 6x + 2y2 * 6x) + 3y * (-4xy + 8x2 + 2y2)) = 0 Reorder the terms: ((12xy2 + -24x2y + 48x3) + 3y * (-4xy + 8x2 + 2y2)) = 0 ((12xy2 + -24x2y + 48x3) + 3y * (-4xy + 8x2 + 2y2)) = 0 (12xy2 + -24x2y + 48x3 + (-4xy * 3y + 8x2 * 3y + 2y2 * 3y)) = 0 (12xy2 + -24x2y + 48x3 + (-12xy2 + 24x2y + 6y3)) = 0 Reorder the terms: (12xy2 + -12xy2 + -24x2y + 24x2y + 48x3 + 6y3) = 0 Combine like terms: 12xy2 + -12xy2 = 0 (0 + -24x2y + 24x2y + 48x3 + 6y3) = 0 (-24x2y + 24x2y + 48x3 + 6y3) = 0 Combine like terms: -24x2y + 24x2y = 0 (0 + 48x3 + 6y3) = 0 (48x3 + 6y3) = 0 Solving 48x3 + 6y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y3' to each side of the equation. 48x3 + 6y3 + -6y3 = 0 + -6y3 Combine like terms: 6y3 + -6y3 = 0 48x3 + 0 = 0 + -6y3 48x3 = 0 + -6y3 Remove the zero: 48x3 = -6y3 Divide each side by '48'. x3 = -0.125y3 Simplifying x3 = -0.125y3 Combine like terms: -0.125y3 + 0.125y3 = 0.000 x3 + 0.125y3 = 0.000 The solution to this equation could not be determined.
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