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Simplifying 0.54 + 54x = 234 + 6x2 Solving 0.54 + 54x = 234 + 6x2 Solving for variable 'x'. Reorder the terms: 0.54 + -234 + 54x + -6x2 = 234 + 6x2 + -234 + -6x2 Combine like terms: 0.54 + -234 = -233.46 -233.46 + 54x + -6x2 = 234 + 6x2 + -234 + -6x2 Reorder the terms: -233.46 + 54x + -6x2 = 234 + -234 + 6x2 + -6x2 Combine like terms: 234 + -234 = 0 -233.46 + 54x + -6x2 = 0 + 6x2 + -6x2 -233.46 + 54x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -233.46 + 54x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 38.91 + -9x + x2 = 0 Move the constant term to the right: Add '-38.91' to each side of the equation. 38.91 + -9x + -38.91 + x2 = 0 + -38.91 Reorder the terms: 38.91 + -38.91 + -9x + x2 = 0 + -38.91 Combine like terms: 38.91 + -38.91 = 0.00 0.00 + -9x + x2 = 0 + -38.91 -9x + x2 = 0 + -38.91 Combine like terms: 0 + -38.91 = -38.91 -9x + x2 = -38.91 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -38.91 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -38.91 + 20.25 Combine like terms: -38.91 + 20.25 = -18.66 20.25 + -9x + x2 = -18.66 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -18.66 Can't calculate square root of the right side. The solution to this equation could not be determined.
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