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Simplifying px2 + (2p + 6) * x + 16 = 0 Reorder the terms: px2 + (6 + 2p) * x + 16 = 0 Reorder the terms for easier multiplication: px2 + x(6 + 2p) + 16 = 0 px2 + (6 * x + 2p * x) + 16 = 0 Reorder the terms: px2 + (2px + 6x) + 16 = 0 px2 + (2px + 6x) + 16 = 0 Reorder the terms: 16 + 2px + px2 + 6x = 0 Solving 16 + 2px + px2 + 6x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 2px + px2 + -16 + 6x = 0 + -16 Reorder the terms: 16 + -16 + 2px + px2 + 6x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2px + px2 + 6x = 0 + -16 2px + px2 + 6x = 0 + -16 Combine like terms: 0 + -16 = -16 2px + px2 + 6x = -16 Add '-6x' to each side of the equation. 2px + px2 + 6x + -6x = -16 + -6x Combine like terms: 6x + -6x = 0 2px + px2 + 0 = -16 + -6x 2px + px2 = -16 + -6x Reorder the terms: 16 + 2px + px2 + 6x = -16 + -6x + 16 + 6x Reorder the terms: 16 + 2px + px2 + 6x = -16 + 16 + -6x + 6x Combine like terms: -16 + 16 = 0 16 + 2px + px2 + 6x = 0 + -6x + 6x 16 + 2px + px2 + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 16 + 2px + px2 + 6x = 0 The solution to this equation could not be determined.
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