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Simplifying (30 + -1x)(20 + -1x) + 120 = 0 Multiply (30 + -1x) * (20 + -1x) (30(20 + -1x) + -1x * (20 + -1x)) + 120 = 0 ((20 * 30 + -1x * 30) + -1x * (20 + -1x)) + 120 = 0 ((600 + -30x) + -1x * (20 + -1x)) + 120 = 0 (600 + -30x + (20 * -1x + -1x * -1x)) + 120 = 0 (600 + -30x + (-20x + 1x2)) + 120 = 0 Combine like terms: -30x + -20x = -50x (600 + -50x + 1x2) + 120 = 0 Reorder the terms: 600 + 120 + -50x + 1x2 = 0 Combine like terms: 600 + 120 = 720 720 + -50x + 1x2 = 0 Solving 720 + -50x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-720' to each side of the equation. 720 + -50x + -720 + x2 = 0 + -720 Reorder the terms: 720 + -720 + -50x + x2 = 0 + -720 Combine like terms: 720 + -720 = 0 0 + -50x + x2 = 0 + -720 -50x + x2 = 0 + -720 Combine like terms: 0 + -720 = -720 -50x + x2 = -720 The x term is -50x. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50x + 625 + x2 = -720 + 625 Reorder the terms: 625 + -50x + x2 = -720 + 625 Combine like terms: -720 + 625 = -95 625 + -50x + x2 = -95 Factor a perfect square on the left side: (x + -25)(x + -25) = -95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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