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Simplifying 27x2 + -47x + 24 = 0 Reorder the terms: 24 + -47x + 27x2 = 0 Solving 24 + -47x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.8888888889 + -1.740740741x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -1.740740741x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -1.740740741x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -1.740740741x + x2 = 0 + -0.8888888889 -1.740740741x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -1.740740741x + x2 = -0.8888888889 The x term is -1.740740741x. Take half its coefficient (-0.8703703705). Square it (0.7575445818) and add it to both sides. Add '0.7575445818' to each side of the equation. -1.740740741x + 0.7575445818 + x2 = -0.8888888889 + 0.7575445818 Reorder the terms: 0.7575445818 + -1.740740741x + x2 = -0.8888888889 + 0.7575445818 Combine like terms: -0.8888888889 + 0.7575445818 = -0.1313443071 0.7575445818 + -1.740740741x + x2 = -0.1313443071 Factor a perfect square on the left side: (x + -0.8703703705)(x + -0.8703703705) = -0.1313443071 Can't calculate square root of the right side. The solution to this equation could not be determined.
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