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Simplifying 0 = -1x2 + -14x + -59 Reorder the terms: 0 = -59 + -14x + -1x2 Solving 0 = -59 + -14x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 59 = 59 59 + 14x + x2 = -59 + -14x + -1x2 + 59 + 14x + x2 Reorder the terms: 59 + 14x + x2 = -59 + 59 + -14x + 14x + -1x2 + x2 Combine like terms: -59 + 59 = 0 59 + 14x + x2 = 0 + -14x + 14x + -1x2 + x2 59 + 14x + x2 = -14x + 14x + -1x2 + x2 Combine like terms: -14x + 14x = 0 59 + 14x + x2 = 0 + -1x2 + x2 59 + 14x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 59 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-59' to each side of the equation. 59 + 14x + -59 + x2 = 0 + -59 Reorder the terms: 59 + -59 + 14x + x2 = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 14x + x2 = 0 + -59 14x + x2 = 0 + -59 Combine like terms: 0 + -59 = -59 14x + x2 = -59 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 = -59 + 49 Reorder the terms: 49 + 14x + x2 = -59 + 49 Combine like terms: -59 + 49 = -10 49 + 14x + x2 = -10 Factor a perfect square on the left side: (x + 7)(x + 7) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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