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Simplifying 5x2 + -54x + 149 = 0 Reorder the terms: 149 + -54x + 5x2 = 0 Solving 149 + -54x + 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'. 29.8 + -10.8x + x2 = 0 Move the constant term to the right: Add '-29.8' to each side of the equation. 29.8 + -10.8x + -29.8 + x2 = 0 + -29.8 Reorder the terms: 29.8 + -29.8 + -10.8x + x2 = 0 + -29.8 Combine like terms: 29.8 + -29.8 = 0.0 0.0 + -10.8x + x2 = 0 + -29.8 -10.8x + x2 = 0 + -29.8 Combine like terms: 0 + -29.8 = -29.8 -10.8x + x2 = -29.8 The x term is -10.8x. Take half its coefficient (-5.4). Square it (29.16) and add it to both sides. Add '29.16' to each side of the equation. -10.8x + 29.16 + x2 = -29.8 + 29.16 Reorder the terms: 29.16 + -10.8x + x2 = -29.8 + 29.16 Combine like terms: -29.8 + 29.16 = -0.64 29.16 + -10.8x + x2 = -0.64 Factor a perfect square on the left side: (x + -5.4)(x + -5.4) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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