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Simplifying 2x2 + 4x + px + 3p + 2 = 0 Reorder the terms: 2 + 3p + px + 4x + 2x2 = 0 Solving 2 + 3p + px + 4x + 2x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3p + px + 4x + -2 + 2x2 = 0 + -2 Reorder the terms: 2 + -2 + 3p + px + 4x + 2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p + px + 4x + 2x2 = 0 + -2 3p + px + 4x + 2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3p + px + 4x + 2x2 = -2 Add '-4x' to each side of the equation. 3p + px + 4x + -4x + 2x2 = -2 + -4x Combine like terms: 4x + -4x = 0 3p + px + 0 + 2x2 = -2 + -4x 3p + px + 2x2 = -2 + -4x Add '-2x2' to each side of the equation. 3p + px + 2x2 + -2x2 = -2 + -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3p + px + 0 = -2 + -4x + -2x2 3p + px = -2 + -4x + -2x2 Reorder the terms: 2 + 3p + px + 4x + 2x2 = -2 + -4x + -2x2 + 2 + 4x + 2x2 Reorder the terms: 2 + 3p + px + 4x + 2x2 = -2 + 2 + -4x + 4x + -2x2 + 2x2 Combine like terms: -2 + 2 = 0 2 + 3p + px + 4x + 2x2 = 0 + -4x + 4x + -2x2 + 2x2 2 + 3p + px + 4x + 2x2 = -4x + 4x + -2x2 + 2x2 Combine like terms: -4x + 4x = 0 2 + 3p + px + 4x + 2x2 = 0 + -2x2 + 2x2 2 + 3p + px + 4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 2 + 3p + px + 4x + 2x2 = 0 The solution to this equation could not be determined.
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