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Simplifying px2 + 2(p + -6) * x + 1 = 0 Reorder the terms: px2 + 2(-6 + p) * x + 1 = 0 Reorder the terms for easier multiplication: px2 + 2x(-6 + p) + 1 = 0 px2 + (-6 * 2x + p * 2x) + 1 = 0 Reorder the terms: px2 + (2px + -12x) + 1 = 0 px2 + (2px + -12x) + 1 = 0 Reorder the terms: 1 + 2px + px2 + -12x = 0 Solving 1 + 2px + px2 + -12x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2px + px2 + -1 + -12x = 0 + -1 Reorder the terms: 1 + -1 + 2px + px2 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2px + px2 + -12x = 0 + -1 2px + px2 + -12x = 0 + -1 Combine like terms: 0 + -1 = -1 2px + px2 + -12x = -1 Add '12x' to each side of the equation. 2px + px2 + -12x + 12x = -1 + 12x Combine like terms: -12x + 12x = 0 2px + px2 + 0 = -1 + 12x 2px + px2 = -1 + 12x Reorder the terms: 1 + 2px + px2 + -12x = -1 + 12x + 1 + -12x Reorder the terms: 1 + 2px + px2 + -12x = -1 + 1 + 12x + -12x Combine like terms: -1 + 1 = 0 1 + 2px + px2 + -12x = 0 + 12x + -12x 1 + 2px + px2 + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 1 + 2px + px2 + -12x = 0 The solution to this equation could not be determined.
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