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Simplifying 16x + -3x2 = 184 Solving 16x + -3x2 = 184 Solving for variable 'x'. Reorder the terms: -184 + 16x + -3x2 = 184 + -184 Combine like terms: 184 + -184 = 0 -184 + 16x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 61.33333333 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-61.33333333' to each side of the equation. 61.33333333 + -5.333333333x + -61.33333333 + x2 = 0 + -61.33333333 Reorder the terms: 61.33333333 + -61.33333333 + -5.333333333x + x2 = 0 + -61.33333333 Combine like terms: 61.33333333 + -61.33333333 = 0.00000000 0.00000000 + -5.333333333x + x2 = 0 + -61.33333333 -5.333333333x + x2 = 0 + -61.33333333 Combine like terms: 0 + -61.33333333 = -61.33333333 -5.333333333x + x2 = -61.33333333 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = -61.33333333 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -61.33333333 + 7.111111113 Combine like terms: -61.33333333 + 7.111111113 = -54.222222217 7.111111113 + -5.333333333x + x2 = -54.222222217 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -54.222222217 Can't calculate square root of the right side. The solution to this equation could not be determined.
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