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Simplifying 3x4 + m2x2 + 2px + 12 = 0 Reorder the terms: 12 + m2x2 + 2px + 3x4 = 0 Solving 12 + m2x2 + 2px + 3x4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + m2x2 + 2px + -12 + 3x4 = 0 + -12 Reorder the terms: 12 + -12 + m2x2 + 2px + 3x4 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m2x2 + 2px + 3x4 = 0 + -12 m2x2 + 2px + 3x4 = 0 + -12 Combine like terms: 0 + -12 = -12 m2x2 + 2px + 3x4 = -12 Add '-2px' to each side of the equation. m2x2 + 2px + -2px + 3x4 = -12 + -2px Combine like terms: 2px + -2px = 0 m2x2 + 0 + 3x4 = -12 + -2px m2x2 + 3x4 = -12 + -2px Add '-3x4' to each side of the equation. m2x2 + 3x4 + -3x4 = -12 + -2px + -3x4 Combine like terms: 3x4 + -3x4 = 0 m2x2 + 0 = -12 + -2px + -3x4 m2x2 = -12 + -2px + -3x4 Divide each side by 'x2'. m2 = -12x-2 + -2px-1 + -3x2 Simplifying m2 = -12x-2 + -2px-1 + -3x2 Reorder the terms: m2 = -2px-1 + -12x-2 + -3x2 Reorder the terms: m2 + 2px-1 + 12x-2 + 3x2 = -2px-1 + 2px-1 + -12x-2 + 12x-2 + -3x2 + 3x2 Combine like terms: -2px-1 + 2px-1 = 0 m2 + 2px-1 + 12x-2 + 3x2 = 0 + -12x-2 + 12x-2 + -3x2 + 3x2 m2 + 2px-1 + 12x-2 + 3x2 = -12x-2 + 12x-2 + -3x2 + 3x2 Combine like terms: -12x-2 + 12x-2 = 0 m2 + 2px-1 + 12x-2 + 3x2 = 0 + -3x2 + 3x2 m2 + 2px-1 + 12x-2 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 m2 + 2px-1 + 12x-2 + 3x2 = 0 The solution to this equation could not be determined.
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