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Simplifying 27x2 + 56x + 4 = 50x2 + 50 Reorder the terms: 4 + 56x + 27x2 = 50x2 + 50 Reorder the terms: 4 + 56x + 27x2 = 50 + 50x2 Solving 4 + 56x + 27x2 = 50 + 50x2 Solving for variable 'x'. Reorder the terms: 4 + -50 + 56x + 27x2 + -50x2 = 50 + 50x2 + -50 + -50x2 Combine like terms: 4 + -50 = -46 -46 + 56x + 27x2 + -50x2 = 50 + 50x2 + -50 + -50x2 Combine like terms: 27x2 + -50x2 = -23x2 -46 + 56x + -23x2 = 50 + 50x2 + -50 + -50x2 Reorder the terms: -46 + 56x + -23x2 = 50 + -50 + 50x2 + -50x2 Combine like terms: 50 + -50 = 0 -46 + 56x + -23x2 = 0 + 50x2 + -50x2 -46 + 56x + -23x2 = 50x2 + -50x2 Combine like terms: 50x2 + -50x2 = 0 -46 + 56x + -23x2 = 0 Begin completing the square. Divide all terms by -23 the coefficient of the squared term: Divide each side by '-23'. 2 + -2.434782609x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.434782609x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2.434782609x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.434782609x + x2 = 0 + -2 -2.434782609x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.434782609x + x2 = -2 The x term is -2.434782609x. Take half its coefficient (-1.217391305). Square it (1.482041589) and add it to both sides. Add '1.482041589' to each side of the equation. -2.434782609x + 1.482041589 + x2 = -2 + 1.482041589 Reorder the terms: 1.482041589 + -2.434782609x + x2 = -2 + 1.482041589 Combine like terms: -2 + 1.482041589 = -0.517958411 1.482041589 + -2.434782609x + x2 = -0.517958411 Factor a perfect square on the left side: (x + -1.217391305)(x + -1.217391305) = -0.517958411 Can't calculate square root of the right side. The solution to this equation could not be determined.
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