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Simplifying 5y(34x + -24z + 5y) = 0 Reorder the terms: 5y(34x + 5y + -24z) = 0 (34x * 5y + 5y * 5y + -24z * 5y) = 0 Reorder the terms: (170xy + -120yz + 25y2) = 0 (170xy + -120yz + 25y2) = 0 Solving 170xy + -120yz + 25y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120yz' to each side of the equation. 170xy + -120yz + 120yz + 25y2 = 0 + 120yz Combine like terms: -120yz + 120yz = 0 170xy + 0 + 25y2 = 0 + 120yz 170xy + 25y2 = 0 + 120yz Remove the zero: 170xy + 25y2 = 120yz Add '-25y2' to each side of the equation. 170xy + 25y2 + -25y2 = 120yz + -25y2 Combine like terms: 25y2 + -25y2 = 0 170xy + 0 = 120yz + -25y2 170xy = 120yz + -25y2 Divide each side by '170y'. x = 0.7058823529z + -0.1470588235y Simplifying x = 0.7058823529z + -0.1470588235y Reorder the terms: x = -0.1470588235y + 0.7058823529z
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