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Simplifying x(x + -7) = -14 Reorder the terms: x(-7 + x) = -14 (-7 * x + x * x) = -14 (-7x + x2) = -14 Solving -7x + x2 = -14 Solving for variable 'x'. Reorder the terms: 14 + -7x + x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -7x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -7x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x + x2 = 0 + -14 -7x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -7x + x2 = -14 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 = -14 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + -7x + x2 = -1.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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