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Simplifying x2 + -7x + 78 = 0 Reorder the terms: 78 + -7x + x2 = 0 Solving 78 + -7x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-78' to each side of the equation. 78 + -7x + -78 + x2 = 0 + -78 Reorder the terms: 78 + -78 + -7x + x2 = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -7x + x2 = 0 + -78 -7x + x2 = 0 + -78 Combine like terms: 0 + -78 = -78 -7x + x2 = -78 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 = -78 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -78 + 12.25 Combine like terms: -78 + 12.25 = -65.75 12.25 + -7x + x2 = -65.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -65.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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