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Simplifying (5x + 9y + 8z)(-12x + 10y + -15z) = 0 Multiply (5x + 9y + 8z) * (-12x + 10y + -15z) (5x * (-12x + 10y + -15z) + 9y * (-12x + 10y + -15z) + 8z * (-12x + 10y + -15z)) = 0 ((-12x * 5x + 10y * 5x + -15z * 5x) + 9y * (-12x + 10y + -15z) + 8z * (-12x + 10y + -15z)) = 0 Reorder the terms: ((50xy + -75xz + -60x2) + 9y * (-12x + 10y + -15z) + 8z * (-12x + 10y + -15z)) = 0 ((50xy + -75xz + -60x2) + 9y * (-12x + 10y + -15z) + 8z * (-12x + 10y + -15z)) = 0 (50xy + -75xz + -60x2 + (-12x * 9y + 10y * 9y + -15z * 9y) + 8z * (-12x + 10y + -15z)) = 0 Reorder the terms: (50xy + -75xz + -60x2 + (-108xy + -135yz + 90y2) + 8z * (-12x + 10y + -15z)) = 0 (50xy + -75xz + -60x2 + (-108xy + -135yz + 90y2) + 8z * (-12x + 10y + -15z)) = 0 (50xy + -75xz + -60x2 + -108xy + -135yz + 90y2 + (-12x * 8z + 10y * 8z + -15z * 8z)) = 0 (50xy + -75xz + -60x2 + -108xy + -135yz + 90y2 + (-96xz + 80yz + -120z2)) = 0 Reorder the terms: (50xy + -108xy + -75xz + -96xz + -60x2 + -135yz + 80yz + 90y2 + -120z2) = 0 Combine like terms: 50xy + -108xy = -58xy (-58xy + -75xz + -96xz + -60x2 + -135yz + 80yz + 90y2 + -120z2) = 0 Combine like terms: -75xz + -96xz = -171xz (-58xy + -171xz + -60x2 + -135yz + 80yz + 90y2 + -120z2) = 0 Combine like terms: -135yz + 80yz = -55yz (-58xy + -171xz + -60x2 + -55yz + 90y2 + -120z2) = 0 Solving -58xy + -171xz + -60x2 + -55yz + 90y2 + -120z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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