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Simplifying 7x + 36 = x2 + 64 Reorder the terms: 36 + 7x = x2 + 64 Reorder the terms: 36 + 7x = 64 + x2 Solving 36 + 7x = 64 + x2 Solving for variable 'x'. Reorder the terms: 36 + -64 + 7x + -1x2 = 64 + x2 + -64 + -1x2 Combine like terms: 36 + -64 = -28 -28 + 7x + -1x2 = 64 + x2 + -64 + -1x2 Reorder the terms: -28 + 7x + -1x2 = 64 + -64 + x2 + -1x2 Combine like terms: 64 + -64 = 0 -28 + 7x + -1x2 = 0 + x2 + -1x2 -28 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 28 + -7x + x2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -7x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -7x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7x + x2 = 0 + -28 -7x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -7x + x2 = -28 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 = -28 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -28 + 12.25 Combine like terms: -28 + 12.25 = -15.75 12.25 + -7x + x2 = -15.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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