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Simplifying x2 = 7(x + -7) Reorder the terms: x2 = 7(-7 + x) x2 = (-7 * 7 + x * 7) x2 = (-49 + 7x) Solving x2 = -49 + 7x Solving for variable 'x'. Reorder the terms: 49 + -7x + x2 = -49 + 7x + 49 + -7x Reorder the terms: 49 + -7x + x2 = -49 + 49 + 7x + -7x Combine like terms: -49 + 49 = 0 49 + -7x + x2 = 0 + 7x + -7x 49 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 49 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -7x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -7x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -7x + x2 = 0 + -49 -7x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -7x + x2 = -49 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 = -49 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -49 + 12.25 Combine like terms: -49 + 12.25 = -36.75 12.25 + -7x + x2 = -36.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -36.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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