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Simplifying 12(d + -3) + 6d(5d + -2) = 0 Reorder the terms: 12(-3 + d) + 6d(5d + -2) = 0 (-3 * 12 + d * 12) + 6d(5d + -2) = 0 (-36 + 12d) + 6d(5d + -2) = 0 Reorder the terms: -36 + 12d + 6d(-2 + 5d) = 0 -36 + 12d + (-2 * 6d + 5d * 6d) = 0 -36 + 12d + (-12d + 30d2) = 0 Combine like terms: 12d + -12d = 0 -36 + 0 + 30d2 = 0 -36 + 30d2 = 0 Solving -36 + 30d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 30d2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 30d2 = 0 + 36 30d2 = 0 + 36 Combine like terms: 0 + 36 = 36 30d2 = 36 Divide each side by '30'. d2 = 1.2 Simplifying d2 = 1.2 Take the square root of each side: d = {-1.095445115, 1.095445115}
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