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Simplifying x2 + 2x = 12x + -51 Reorder the terms: 2x + x2 = 12x + -51 Reorder the terms: 2x + x2 = -51 + 12x Solving 2x + x2 = -51 + 12x Solving for variable 'x'. Reorder the terms: 51 + 2x + -12x + x2 = -51 + 12x + 51 + -12x Combine like terms: 2x + -12x = -10x 51 + -10x + x2 = -51 + 12x + 51 + -12x Reorder the terms: 51 + -10x + x2 = -51 + 51 + 12x + -12x Combine like terms: -51 + 51 = 0 51 + -10x + x2 = 0 + 12x + -12x 51 + -10x + x2 = 12x + -12x Combine like terms: 12x + -12x = 0 51 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + -10x + -51 + x2 = 0 + -51 Reorder the terms: 51 + -51 + -10x + x2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -10x + x2 = 0 + -51 -10x + x2 = 0 + -51 Combine like terms: 0 + -51 = -51 -10x + x2 = -51 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -51 + 25 Reorder the terms: 25 + -10x + x2 = -51 + 25 Combine like terms: -51 + 25 = -26 25 + -10x + x2 = -26 Factor a perfect square on the left side: (x + -5)(x + -5) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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