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Simplifying x + 7 = x2 + 25 Reorder the terms: 7 + x = x2 + 25 Reorder the terms: 7 + x = 25 + x2 Solving 7 + x = 25 + x2 Solving for variable 'x'. Reorder the terms: 7 + -25 + x + -1x2 = 25 + x2 + -25 + -1x2 Combine like terms: 7 + -25 = -18 -18 + x + -1x2 = 25 + x2 + -25 + -1x2 Reorder the terms: -18 + x + -1x2 = 25 + -25 + x2 + -1x2 Combine like terms: 25 + -25 = 0 -18 + x + -1x2 = 0 + x2 + -1x2 -18 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18 + -1x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -1x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -1x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x + x2 = 0 + -18 -1x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1x + x2 = -18 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -18 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -18 + 0.25 Combine like terms: -18 + 0.25 = -17.75 0.25 + -1x + x2 = -17.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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