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Simplifying 3y(4y + 5k) = 0 Reorder the terms: 3y(5k + 4y) = 0 (5k * 3y + 4y * 3y) = 0 (15ky + 12y2) = 0 Solving 15ky + 12y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12y2' to each side of the equation. 15ky + 12y2 + -12y2 = 0 + -12y2 Combine like terms: 12y2 + -12y2 = 0 15ky + 0 = 0 + -12y2 15ky = 0 + -12y2 Remove the zero: 15ky = -12y2 Divide each side by '15y'. k = -0.8y Simplifying k = -0.8y
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