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Simplifying x2 + 64 = 7x Reorder the terms: 64 + x2 = 7x Solving 64 + x2 = 7x Solving for variable 'x'. Reorder the terms: 64 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 64 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -7x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -7x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -7x + x2 = 0 + -64 -7x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -7x + x2 = -64 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 = -64 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -64 + 12.25 Combine like terms: -64 + 12.25 = -51.75 12.25 + -7x + x2 = -51.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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