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Simplifying 19x = x2 + 18x + 81 Reorder the terms: 19x = 81 + 18x + x2 Solving 19x = 81 + 18x + x2 Solving for variable 'x'. Reorder the terms: -81 + 19x + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Combine like terms: 19x + -18x = 1x -81 + 1x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Reorder the terms: -81 + 1x + -1x2 = 81 + -81 + 18x + -18x + x2 + -1x2 Combine like terms: 81 + -81 = 0 -81 + 1x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -81 + 1x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -81 + 1x + -1x2 = 0 + x2 + -1x2 -81 + 1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -81 + 1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 81 + -1x + x2 = 0 Move the constant term to the right: Add '-81' to each side of the equation. 81 + -1x + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + -1x + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1x + x2 = 0 + -81 -1x + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 -1x + x2 = -81 The x term is -1x. 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 = -81 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -81 + 0.25 Combine like terms: -81 + 0.25 = -80.75 0.25 + -1x + x2 = -80.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -80.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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