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Simplifying x2 + -8 = 24x + -192 + -2x2 + -16x Reorder the terms: -8 + x2 = 24x + -192 + -2x2 + -16x Reorder the terms: -8 + x2 = -192 + 24x + -16x + -2x2 Combine like terms: 24x + -16x = 8x -8 + x2 = -192 + 8x + -2x2 Solving -8 + x2 = -192 + 8x + -2x2 Solving for variable 'x'. Reorder the terms: -8 + 192 + -8x + x2 + 2x2 = -192 + 8x + -2x2 + 192 + -8x + 2x2 Combine like terms: -8 + 192 = 184 184 + -8x + x2 + 2x2 = -192 + 8x + -2x2 + 192 + -8x + 2x2 Combine like terms: x2 + 2x2 = 3x2 184 + -8x + 3x2 = -192 + 8x + -2x2 + 192 + -8x + 2x2 Reorder the terms: 184 + -8x + 3x2 = -192 + 192 + 8x + -8x + -2x2 + 2x2 Combine like terms: -192 + 192 = 0 184 + -8x + 3x2 = 0 + 8x + -8x + -2x2 + 2x2 184 + -8x + 3x2 = 8x + -8x + -2x2 + 2x2 Combine like terms: 8x + -8x = 0 184 + -8x + 3x2 = 0 + -2x2 + 2x2 184 + -8x + 3x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 184 + -8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 61.33333333 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-61.33333333' to each side of the equation. 61.33333333 + -2.666666667x + -61.33333333 + x2 = 0 + -61.33333333 Reorder the terms: 61.33333333 + -61.33333333 + -2.666666667x + x2 = 0 + -61.33333333 Combine like terms: 61.33333333 + -61.33333333 = 0.00000000 0.00000000 + -2.666666667x + x2 = 0 + -61.33333333 -2.666666667x + x2 = 0 + -61.33333333 Combine like terms: 0 + -61.33333333 = -61.33333333 -2.666666667x + x2 = -61.33333333 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -61.33333333 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -61.33333333 + 1.777777780 Combine like terms: -61.33333333 + 1.777777780 = -59.55555555 1.777777780 + -2.666666667x + x2 = -59.55555555 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -59.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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