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Simplifying 50 = -1x2 + 12x + -20 Reorder the terms: 50 = -20 + 12x + -1x2 Solving 50 = -20 + 12x + -1x2 Solving for variable 'x'. Combine like terms: 50 + 20 = 70 70 + -12x + x2 = -20 + 12x + -1x2 + 20 + -12x + x2 Reorder the terms: 70 + -12x + x2 = -20 + 20 + 12x + -12x + -1x2 + x2 Combine like terms: -20 + 20 = 0 70 + -12x + x2 = 0 + 12x + -12x + -1x2 + x2 70 + -12x + x2 = 12x + -12x + -1x2 + x2 Combine like terms: 12x + -12x = 0 70 + -12x + x2 = 0 + -1x2 + x2 70 + -12x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 70 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + -12x + -70 + x2 = 0 + -70 Reorder the terms: 70 + -70 + -12x + x2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -12x + x2 = 0 + -70 -12x + x2 = 0 + -70 Combine like terms: 0 + -70 = -70 -12x + x2 = -70 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -70 + 36 Reorder the terms: 36 + -12x + x2 = -70 + 36 Combine like terms: -70 + 36 = -34 36 + -12x + x2 = -34 Factor a perfect square on the left side: (x + -6)(x + -6) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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