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Simplifying 80 = 14x + -1x2 Solving 80 = 14x + -1x2 Solving for variable 'x'. Reorder the terms: 80 + -14x + x2 = 14x + -14x + -1x2 + x2 Combine like terms: 14x + -14x = 0 80 + -14x + x2 = 0 + -1x2 + x2 80 + -14x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 80 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + -14x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -14x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -14x + x2 = 0 + -80 -14x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -14x + x2 = -80 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 = -80 + 49 Reorder the terms: 49 + -14x + x2 = -80 + 49 Combine like terms: -80 + 49 = -31 49 + -14x + x2 = -31 Factor a perfect square on the left side: (x + -7)(x + -7) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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