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Simplifying (x + 1)(x + 12) = 10x Reorder the terms: (1 + x)(x + 12) = 10x Reorder the terms: (1 + x)(12 + x) = 10x Multiply (1 + x) * (12 + x) (1(12 + x) + x(12 + x)) = 10x ((12 * 1 + x * 1) + x(12 + x)) = 10x ((12 + 1x) + x(12 + x)) = 10x (12 + 1x + (12 * x + x * x)) = 10x (12 + 1x + (12x + x2)) = 10x Combine like terms: 1x + 12x = 13x (12 + 13x + x2) = 10x Solving 12 + 13x + x2 = 10x Solving for variable 'x'. Reorder the terms: 12 + 13x + -10x + x2 = 10x + -10x Combine like terms: 13x + -10x = 3x 12 + 3x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 12 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 3x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 3x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + x2 = 0 + -12 3x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 3x + x2 = -12 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -12 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -12 + 2.25 Combine like terms: -12 + 2.25 = -9.75 2.25 + 3x + x2 = -9.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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