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Simplifying (x + 4)(x + 12) + -5x = 0 Reorder the terms: (4 + x)(x + 12) + -5x = 0 Reorder the terms: (4 + x)(12 + x) + -5x = 0 Multiply (4 + x) * (12 + x) (4(12 + x) + x(12 + x)) + -5x = 0 ((12 * 4 + x * 4) + x(12 + x)) + -5x = 0 ((48 + 4x) + x(12 + x)) + -5x = 0 (48 + 4x + (12 * x + x * x)) + -5x = 0 (48 + 4x + (12x + x2)) + -5x = 0 Combine like terms: 4x + 12x = 16x (48 + 16x + x2) + -5x = 0 Reorder the terms: 48 + 16x + -5x + x2 = 0 Combine like terms: 16x + -5x = 11x 48 + 11x + x2 = 0 Solving 48 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 11x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + 11x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 11x + x2 = 0 + -48 11x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 11x + x2 = -48 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -48 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -48 + 30.25 Combine like terms: -48 + 30.25 = -17.75 30.25 + 11x + x2 = -17.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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