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Simplifying x2 + -16 = 2x2 + -7x + 14 Reorder the terms: -16 + x2 = 2x2 + -7x + 14 Reorder the terms: -16 + x2 = 14 + -7x + 2x2 Solving -16 + x2 = 14 + -7x + 2x2 Solving for variable 'x'. Reorder the terms: -16 + -14 + 7x + x2 + -2x2 = 14 + -7x + 2x2 + -14 + 7x + -2x2 Combine like terms: -16 + -14 = -30 -30 + 7x + x2 + -2x2 = 14 + -7x + 2x2 + -14 + 7x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -30 + 7x + -1x2 = 14 + -7x + 2x2 + -14 + 7x + -2x2 Reorder the terms: -30 + 7x + -1x2 = 14 + -14 + -7x + 7x + 2x2 + -2x2 Combine like terms: 14 + -14 = 0 -30 + 7x + -1x2 = 0 + -7x + 7x + 2x2 + -2x2 -30 + 7x + -1x2 = -7x + 7x + 2x2 + -2x2 Combine like terms: -7x + 7x = 0 -30 + 7x + -1x2 = 0 + 2x2 + -2x2 -30 + 7x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 30 + -7x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -7x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -7x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7x + x2 = 0 + -30 -7x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -7x + x2 = -30 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -30 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + -7x + x2 = -17.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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