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Simplifying x + 5x + 5 = x * x + 395 Reorder the terms: 5 + x + 5x = x * x + 395 Combine like terms: x + 5x = 6x 5 + 6x = x * x + 395 Multiply x * x 5 + 6x = x2 + 395 Reorder the terms: 5 + 6x = 395 + x2 Solving 5 + 6x = 395 + x2 Solving for variable 'x'. Reorder the terms: 5 + -395 + 6x + -1x2 = 395 + x2 + -395 + -1x2 Combine like terms: 5 + -395 = -390 -390 + 6x + -1x2 = 395 + x2 + -395 + -1x2 Reorder the terms: -390 + 6x + -1x2 = 395 + -395 + x2 + -1x2 Combine like terms: 395 + -395 = 0 -390 + 6x + -1x2 = 0 + x2 + -1x2 -390 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -390 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 390 + -6x + x2 = 0 Move the constant term to the right: Add '-390' to each side of the equation. 390 + -6x + -390 + x2 = 0 + -390 Reorder the terms: 390 + -390 + -6x + x2 = 0 + -390 Combine like terms: 390 + -390 = 0 0 + -6x + x2 = 0 + -390 -6x + x2 = 0 + -390 Combine like terms: 0 + -390 = -390 -6x + x2 = -390 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -390 + 9 Reorder the terms: 9 + -6x + x2 = -390 + 9 Combine like terms: -390 + 9 = -381 9 + -6x + x2 = -381 Factor a perfect square on the left side: (x + -3)(x + -3) = -381 Can't calculate square root of the right side. The solution to this equation could not be determined.
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