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Simplifying gx2 + 3kx + 3k + -2 = 0 Reorder the terms: -2 + gx2 + 3k + 3kx = 0 Solving -2 + gx2 + 3k + 3kx = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + gx2 + 3k + 2 + 3kx = 0 + 2 Reorder the terms: -2 + 2 + gx2 + 3k + 3kx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + gx2 + 3k + 3kx = 0 + 2 gx2 + 3k + 3kx = 0 + 2 Combine like terms: 0 + 2 = 2 gx2 + 3k + 3kx = 2 Add '-3k' to each side of the equation. gx2 + 3k + -3k + 3kx = 2 + -3k Combine like terms: 3k + -3k = 0 gx2 + 0 + 3kx = 2 + -3k gx2 + 3kx = 2 + -3k Add '-3kx' to each side of the equation. gx2 + 3kx + -3kx = 2 + -3k + -3kx Combine like terms: 3kx + -3kx = 0 gx2 + 0 = 2 + -3k + -3kx gx2 = 2 + -3k + -3kx Divide each side by 'x2'. g = 2x-2 + -3kx-2 + -3kx-1 Simplifying g = 2x-2 + -3kx-2 + -3kx-1 Reorder the terms: g = -3kx-2 + -3kx-1 + 2x-2
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