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Simplifying 9x2 + -48x + 64 = -27 Reorder the terms: 64 + -48x + 9x2 = -27 Solving 64 + -48x + 9x2 = -27 Solving for variable 'x'. Reorder the terms: 64 + 27 + -48x + 9x2 = -27 + 27 Combine like terms: 64 + 27 = 91 91 + -48x + 9x2 = -27 + 27 Combine like terms: -27 + 27 = 0 91 + -48x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 10.11111111 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-10.11111111' to each side of the equation. 10.11111111 + -5.333333333x + -10.11111111 + x2 = 0 + -10.11111111 Reorder the terms: 10.11111111 + -10.11111111 + -5.333333333x + x2 = 0 + -10.11111111 Combine like terms: 10.11111111 + -10.11111111 = 0.00000000 0.00000000 + -5.333333333x + x2 = 0 + -10.11111111 -5.333333333x + x2 = 0 + -10.11111111 Combine like terms: 0 + -10.11111111 = -10.11111111 -5.333333333x + x2 = -10.11111111 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 = -10.11111111 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -10.11111111 + 7.111111113 Combine like terms: -10.11111111 + 7.111111113 = -2.999999997 7.111111113 + -5.333333333x + x2 = -2.999999997 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -2.999999997 Can't calculate square root of the right side. The solution to this equation could not be determined.
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