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Simplifying x + 3 = (x2 + 15) Reorder the terms: 3 + x = (x2 + 15) Reorder the terms: 3 + x = (15 + x2) Remove parenthesis around (15 + x2) 3 + x = 15 + x2 Solving 3 + x = 15 + x2 Solving for variable 'x'. Reorder the terms: 3 + -15 + x + -1x2 = 15 + x2 + -15 + -1x2 Combine like terms: 3 + -15 = -12 -12 + x + -1x2 = 15 + x2 + -15 + -1x2 Reorder the terms: -12 + x + -1x2 = 15 + -15 + x2 + -1x2 Combine like terms: 15 + -15 = 0 -12 + x + -1x2 = 0 + x2 + -1x2 -12 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 12 + -1x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -1x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x + x2 = 0 + -12 -1x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1x + x2 = -12 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 = -12 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + -1x + x2 = -11.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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