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Simplifying 14x + -1x2 = 54 Solving 14x + -1x2 = 54 Solving for variable 'x'. Reorder the terms: -54 + 14x + -1x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + 14x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 54 + -14x + x2 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + -14x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + -14x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -14x + x2 = 0 + -54 -14x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 -14x + x2 = -54 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -54 + 49 Reorder the terms: 49 + -14x + x2 = -54 + 49 Combine like terms: -54 + 49 = -5 49 + -14x + x2 = -5 Factor a perfect square on the left side: (x + -7)(x + -7) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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