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Simplifying 2x2 + (10p + 1) * x + 5 = 0 Reorder the terms: 2x2 + (1 + 10p) * x + 5 = 0 Reorder the terms for easier multiplication: 2x2 + x(1 + 10p) + 5 = 0 2x2 + (1 * x + 10p * x) + 5 = 0 Reorder the terms: 2x2 + (10px + 1x) + 5 = 0 2x2 + (10px + 1x) + 5 = 0 Reorder the terms: 5 + 10px + 1x + 2x2 = 0 Solving 5 + 10px + 1x + 2x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10px + 1x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + 10px + 1x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10px + 1x + 2x2 = 0 + -5 10px + 1x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 10px + 1x + 2x2 = -5 Add '-1x' to each side of the equation. 10px + 1x + -1x + 2x2 = -5 + -1x Combine like terms: 1x + -1x = 0 10px + 0 + 2x2 = -5 + -1x 10px + 2x2 = -5 + -1x Add '-2x2' to each side of the equation. 10px + 2x2 + -2x2 = -5 + -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 10px + 0 = -5 + -1x + -2x2 10px = -5 + -1x + -2x2 Divide each side by '10x'. p = -0.5x-1 + -0.1 + -0.2x Simplifying p = -0.5x-1 + -0.1 + -0.2x Reorder the terms: p = -0.1 + -0.5x-1 + -0.2x
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