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Simplifying (-3x + -4y)(9x2 + -12xy + 16y2) = 0 Reorder the terms: (-3x + -4y)(-12xy + 9x2 + 16y2) = 0 Multiply (-3x + -4y) * (-12xy + 9x2 + 16y2) (-3x * (-12xy + 9x2 + 16y2) + -4y * (-12xy + 9x2 + 16y2)) = 0 ((-12xy * -3x + 9x2 * -3x + 16y2 * -3x) + -4y * (-12xy + 9x2 + 16y2)) = 0 Reorder the terms: ((-48xy2 + 36x2y + -27x3) + -4y * (-12xy + 9x2 + 16y2)) = 0 ((-48xy2 + 36x2y + -27x3) + -4y * (-12xy + 9x2 + 16y2)) = 0 (-48xy2 + 36x2y + -27x3 + (-12xy * -4y + 9x2 * -4y + 16y2 * -4y)) = 0 (-48xy2 + 36x2y + -27x3 + (48xy2 + -36x2y + -64y3)) = 0 Reorder the terms: (-48xy2 + 48xy2 + 36x2y + -36x2y + -27x3 + -64y3) = 0 Combine like terms: -48xy2 + 48xy2 = 0 (0 + 36x2y + -36x2y + -27x3 + -64y3) = 0 (36x2y + -36x2y + -27x3 + -64y3) = 0 Combine like terms: 36x2y + -36x2y = 0 (0 + -27x3 + -64y3) = 0 (-27x3 + -64y3) = 0 Solving -27x3 + -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. -27x3 + -64y3 + 64y3 = 0 + 64y3 Combine like terms: -64y3 + 64y3 = 0 -27x3 + 0 = 0 + 64y3 -27x3 = 0 + 64y3 Remove the zero: -27x3 = 64y3 Divide each side by '-27'. x3 = -2.37037037y3 Simplifying x3 = -2.37037037y3 Combine like terms: -2.37037037y3 + 2.37037037y3 = 0.00000000 x3 + 2.37037037y3 = 0.00000000 The solution to this equation could not be determined.
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