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Simplifying x2 + -6x + 78 = 0 Reorder the terms: 78 + -6x + x2 = 0 Solving 78 + -6x + 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 + -6x + -78 + x2 = 0 + -78 Reorder the terms: 78 + -78 + -6x + x2 = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -6x + x2 = 0 + -78 -6x + x2 = 0 + -78 Combine like terms: 0 + -78 = -78 -6x + x2 = -78 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -78 + 9 Reorder the terms: 9 + -6x + x2 = -78 + 9 Combine like terms: -78 + 9 = -69 9 + -6x + x2 = -69 Factor a perfect square on the left side: (x + -3)(x + -3) = -69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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