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Simplifying 2x + 9 = x2 + 25 Reorder the terms: 9 + 2x = x2 + 25 Reorder the terms: 9 + 2x = 25 + x2 Solving 9 + 2x = 25 + x2 Solving for variable 'x'. Reorder the terms: 9 + -25 + 2x + -1x2 = 25 + x2 + -25 + -1x2 Combine like terms: 9 + -25 = -16 -16 + 2x + -1x2 = 25 + x2 + -25 + -1x2 Reorder the terms: -16 + 2x + -1x2 = 25 + -25 + x2 + -1x2 Combine like terms: 25 + -25 = 0 -16 + 2x + -1x2 = 0 + x2 + -1x2 -16 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 16 + -2x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -2x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2x + x2 = 0 + -16 -2x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2x + x2 = -16 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -16 + 1 Reorder the terms: 1 + -2x + x2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + -2x + x2 = -15 Factor a perfect square on the left side: (x + -1)(x + -1) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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