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Simplifying (2p + 1) * x2 + -8x + 6 = 0 Reorder the terms: (1 + 2p) * x2 + -8x + 6 = 0 Reorder the terms for easier multiplication: x2(1 + 2p) + -8x + 6 = 0 (1 * x2 + 2p * x2) + -8x + 6 = 0 Reorder the terms: (2px2 + 1x2) + -8x + 6 = 0 (2px2 + 1x2) + -8x + 6 = 0 Reorder the terms: 6 + 2px2 + -8x + 1x2 = 0 Solving 6 + 2px2 + -8x + 1x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2px2 + -8x + -6 + 1x2 = 0 + -6 Reorder the terms: 6 + -6 + 2px2 + -8x + 1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2px2 + -8x + 1x2 = 0 + -6 2px2 + -8x + 1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2px2 + -8x + 1x2 = -6 Add '8x' to each side of the equation. 2px2 + -8x + 8x + 1x2 = -6 + 8x Combine like terms: -8x + 8x = 0 2px2 + 0 + 1x2 = -6 + 8x 2px2 + 1x2 = -6 + 8x Add '-1x2' to each side of the equation. 2px2 + 1x2 + -1x2 = -6 + 8x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2px2 + 0 = -6 + 8x + -1x2 2px2 = -6 + 8x + -1x2 Divide each side by '2x2'. p = -3x-2 + 4x-1 + -0.5 Simplifying p = -3x-2 + 4x-1 + -0.5 Reorder the terms: p = -0.5 + -3x-2 + 4x-1
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