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Simplifying 11x + 5(12 + -1x2) = 620 11x + (12 * 5 + -1x2 * 5) = 620 11x + (60 + -5x2) = 620 Reorder the terms: 60 + 11x + -5x2 = 620 Solving 60 + 11x + -5x2 = 620 Solving for variable 'x'. Reorder the terms: 60 + -620 + 11x + -5x2 = 620 + -620 Combine like terms: 60 + -620 = -560 -560 + 11x + -5x2 = 620 + -620 Combine like terms: 620 + -620 = 0 -560 + 11x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 112 + -2.2x + x2 = 0 Move the constant term to the right: Add '-112' to each side of the equation. 112 + -2.2x + -112 + x2 = 0 + -112 Reorder the terms: 112 + -112 + -2.2x + x2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -2.2x + x2 = 0 + -112 -2.2x + x2 = 0 + -112 Combine like terms: 0 + -112 = -112 -2.2x + x2 = -112 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -112 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -112 + 1.21 Combine like terms: -112 + 1.21 = -110.79 1.21 + -2.2x + x2 = -110.79 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -110.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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