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Simplifying 0 = x2 + -14x + 53 Reorder the terms: 0 = 53 + -14x + x2 Solving 0 = 53 + -14x + x2 Solving for variable 'x'. Combine like terms: 0 + -53 = -53 -53 + 14x + -1x2 = 53 + -14x + x2 + -53 + 14x + -1x2 Reorder the terms: -53 + 14x + -1x2 = 53 + -53 + -14x + 14x + x2 + -1x2 Combine like terms: 53 + -53 = 0 -53 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2 -53 + 14x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 -53 + 14x + -1x2 = 0 + x2 + -1x2 -53 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -53 + 14x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 53 + -14x + x2 = 0 Move the constant term to the right: Add '-53' to each side of the equation. 53 + -14x + -53 + x2 = 0 + -53 Reorder the terms: 53 + -53 + -14x + x2 = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -14x + x2 = 0 + -53 -14x + x2 = 0 + -53 Combine like terms: 0 + -53 = -53 -14x + x2 = -53 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 = -53 + 49 Reorder the terms: 49 + -14x + x2 = -53 + 49 Combine like terms: -53 + 49 = -4 49 + -14x + x2 = -4 Factor a perfect square on the left side: (x + -7)(x + -7) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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