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Simplifying 2y(4y + 2x) + -3z = 0 Reorder the terms: 2y(2x + 4y) + -3z = 0 (2x * 2y + 4y * 2y) + -3z = 0 (4xy + 8y2) + -3z = 0 Solving 4xy + 8y2 + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 4xy + 8y2 + -8y2 + -3z = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 4xy + 0 + -3z = 0 + -8y2 4xy + -3z = 0 + -8y2 Remove the zero: 4xy + -3z = -8y2 Add '3z' to each side of the equation. 4xy + -3z + 3z = -8y2 + 3z Combine like terms: -3z + 3z = 0 4xy + 0 = -8y2 + 3z 4xy = -8y2 + 3z Divide each side by '4y'. x = -2y + 0.75y-1z Simplifying x = -2y + 0.75y-1z Reorder the terms: x = 0.75y-1z + -2y
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