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Simplifying x2 + -7x + 15 = 0 Reorder the terms: 15 + -7x + x2 = 0 Solving 15 + -7x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -7x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -7x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7x + x2 = 0 + -15 -7x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -7x + x2 = -15 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 = -15 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -15 + 12.25 Combine like terms: -15 + 12.25 = -2.75 12.25 + -7x + x2 = -2.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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