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Simplifying 5x2 + -10x + 54 = 0 Reorder the terms: 54 + -10x + 5x2 = 0 Solving 54 + -10x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10.8 + -2x + x2 = 0 Move the constant term to the right: Add '-10.8' to each side of the equation. 10.8 + -2x + -10.8 + x2 = 0 + -10.8 Reorder the terms: 10.8 + -10.8 + -2x + x2 = 0 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -2x + x2 = 0 + -10.8 -2x + x2 = 0 + -10.8 Combine like terms: 0 + -10.8 = -10.8 -2x + x2 = -10.8 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -10.8 + 1 Reorder the terms: 1 + -2x + x2 = -10.8 + 1 Combine like terms: -10.8 + 1 = -9.8 1 + -2x + x2 = -9.8 Factor a perfect square on the left side: (x + -1)(x + -1) = -9.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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