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Simplifying (p + -12) * x2 + -2(p + -12) * x + 2 = 0 Reorder the terms: (-12 + p) * x2 + -2(p + -12) * x + 2 = 0 Reorder the terms for easier multiplication: x2(-12 + p) + -2(p + -12) * x + 2 = 0 (-12 * x2 + p * x2) + -2(p + -12) * x + 2 = 0 Reorder the terms: (px2 + -12x2) + -2(p + -12) * x + 2 = 0 (px2 + -12x2) + -2(p + -12) * x + 2 = 0 Reorder the terms: px2 + -12x2 + -2(-12 + p) * x + 2 = 0 Reorder the terms for easier multiplication: px2 + -12x2 + -2x(-12 + p) + 2 = 0 px2 + -12x2 + (-12 * -2x + p * -2x) + 2 = 0 Reorder the terms: px2 + -12x2 + (-2px + 24x) + 2 = 0 px2 + -12x2 + (-2px + 24x) + 2 = 0 Reorder the terms: 2 + -2px + px2 + 24x + -12x2 = 0 Solving 2 + -2px + px2 + 24x + -12x2 = 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 + -2px + px2 + 24x + -2 + -12x2 = 0 + -2 Reorder the terms: 2 + -2 + -2px + px2 + 24x + -12x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2px + px2 + 24x + -12x2 = 0 + -2 -2px + px2 + 24x + -12x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2px + px2 + 24x + -12x2 = -2 Add '-24x' to each side of the equation. -2px + px2 + 24x + -24x + -12x2 = -2 + -24x Combine like terms: 24x + -24x = 0 -2px + px2 + 0 + -12x2 = -2 + -24x -2px + px2 + -12x2 = -2 + -24x Add '12x2' to each side of the equation. -2px + px2 + -12x2 + 12x2 = -2 + -24x + 12x2 Combine like terms: -12x2 + 12x2 = 0 -2px + px2 + 0 = -2 + -24x + 12x2 -2px + px2 = -2 + -24x + 12x2 Reorder the terms: 2 + -2px + px2 + 24x + -12x2 = -2 + -24x + 12x2 + 2 + 24x + -12x2 Reorder the terms: 2 + -2px + px2 + 24x + -12x2 = -2 + 2 + -24x + 24x + 12x2 + -12x2 Combine like terms: -2 + 2 = 0 2 + -2px + px2 + 24x + -12x2 = 0 + -24x + 24x + 12x2 + -12x2 2 + -2px + px2 + 24x + -12x2 = -24x + 24x + 12x2 + -12x2 Combine like terms: -24x + 24x = 0 2 + -2px + px2 + 24x + -12x2 = 0 + 12x2 + -12x2 2 + -2px + px2 + 24x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 2 + -2px + px2 + 24x + -12x2 = 0 The solution to this equation could not be determined.
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