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Simplifying 14x + -49 = x2 + 49 Reorder the terms: -49 + 14x = x2 + 49 Reorder the terms: -49 + 14x = 49 + x2 Solving -49 + 14x = 49 + x2 Solving for variable 'x'. Reorder the terms: -49 + -49 + 14x + -1x2 = 49 + x2 + -49 + -1x2 Combine like terms: -49 + -49 = -98 -98 + 14x + -1x2 = 49 + x2 + -49 + -1x2 Reorder the terms: -98 + 14x + -1x2 = 49 + -49 + x2 + -1x2 Combine like terms: 49 + -49 = 0 -98 + 14x + -1x2 = 0 + x2 + -1x2 -98 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -98 + 14x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 98 + -14x + x2 = 0 Move the constant term to the right: Add '-98' to each side of the equation. 98 + -14x + -98 + x2 = 0 + -98 Reorder the terms: 98 + -98 + -14x + x2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -14x + x2 = 0 + -98 -14x + x2 = 0 + -98 Combine like terms: 0 + -98 = -98 -14x + x2 = -98 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 = -98 + 49 Reorder the terms: 49 + -14x + x2 = -98 + 49 Combine like terms: -98 + 49 = -49 49 + -14x + x2 = -49 Factor a perfect square on the left side: (x + -7)(x + -7) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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