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Simplifying 20x = x2 + 16x + 64 Reorder the terms: 20x = 64 + 16x + x2 Solving 20x = 64 + 16x + x2 Solving for variable 'x'. Reorder the terms: -64 + 20x + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 20x + -16x = 4x -64 + 4x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Reorder the terms: -64 + 4x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -64 + 4x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -64 + 4x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -64 + 4x + -1x2 = 0 + x2 + -1x2 -64 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -4x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -4x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -4x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -4x + x2 = 0 + -64 -4x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -4x + x2 = -64 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -64 + 4 Reorder the terms: 4 + -4x + x2 = -64 + 4 Combine like terms: -64 + 4 = -60 4 + -4x + x2 = -60 Factor a perfect square on the left side: (x + -2)(x + -2) = -60 Can't calculate square root of the right side. The solution to this equation could not be determined.
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