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Simplifying 3x(2xc + 4xd) + -1d = 0 (2cx * 3x + 4dx * 3x) + -1d = 0 (6cx2 + 12dx2) + -1d = 0 Reorder the terms: 6cx2 + -1d + 12dx2 = 0 Solving 6cx2 + -1d + 12dx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. 6cx2 + -1d + d + 12dx2 = 0 + d Combine like terms: -1d + d = 0 6cx2 + 0 + 12dx2 = 0 + d 6cx2 + 12dx2 = 0 + d Remove the zero: 6cx2 + 12dx2 = d Add '-12dx2' to each side of the equation. 6cx2 + 12dx2 + -12dx2 = d + -12dx2 Combine like terms: 12dx2 + -12dx2 = 0 6cx2 + 0 = d + -12dx2 6cx2 = d + -12dx2 Divide each side by '6x2'. c = 0.1666666667dx-2 + -2d Simplifying c = 0.1666666667dx-2 + -2d Reorder the terms: c = -2d + 0.1666666667dx-2
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