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Simplifying 12x3 + mx2 + nx + 36 = 0 Reorder the terms: 36 + mx2 + nx + 12x3 = 0 Solving 36 + mx2 + nx + 12x3 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + mx2 + nx + -36 + 12x3 = 0 + -36 Reorder the terms: 36 + -36 + mx2 + nx + 12x3 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + mx2 + nx + 12x3 = 0 + -36 mx2 + nx + 12x3 = 0 + -36 Combine like terms: 0 + -36 = -36 mx2 + nx + 12x3 = -36 Add '-1nx' to each side of the equation. mx2 + nx + -1nx + 12x3 = -36 + -1nx Combine like terms: nx + -1nx = 0 mx2 + 0 + 12x3 = -36 + -1nx mx2 + 12x3 = -36 + -1nx Add '-12x3' to each side of the equation. mx2 + 12x3 + -12x3 = -36 + -1nx + -12x3 Combine like terms: 12x3 + -12x3 = 0 mx2 + 0 = -36 + -1nx + -12x3 mx2 = -36 + -1nx + -12x3 Divide each side by 'x2'. m = -36x-2 + -1nx-1 + -12x Simplifying m = -36x-2 + -1nx-1 + -12x Reorder the terms: m = -1nx-1 + -36x-2 + -12x
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