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Simplifying 6x = 13 + x2 Solving 6x = 13 + x2 Solving for variable 'x'. Reorder the terms: -13 + 6x + -1x2 = 13 + x2 + -13 + -1x2 Reorder the terms: -13 + 6x + -1x2 = 13 + -13 + x2 + -1x2 Combine like terms: 13 + -13 = 0 -13 + 6x + -1x2 = 0 + x2 + -1x2 -13 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -6x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -6x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x + x2 = 0 + -13 -6x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6x + x2 = -13 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 = -13 + 9 Reorder the terms: 9 + -6x + x2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6x + x2 = -4 Factor a perfect square on the left side: (x + -3)(x + -3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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