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Simplifying -9x2 + 36x = 41 Reorder the terms: 36x + -9x2 = 41 Solving 36x + -9x2 = 41 Solving for variable 'x'. Reorder the terms: -41 + 36x + -9x2 = 41 + -41 Combine like terms: 41 + -41 = 0 -41 + 36x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 4.555555556 + -4x + x2 = 0 Move the constant term to the right: Add '-4.555555556' to each side of the equation. 4.555555556 + -4x + -4.555555556 + x2 = 0 + -4.555555556 Reorder the terms: 4.555555556 + -4.555555556 + -4x + x2 = 0 + -4.555555556 Combine like terms: 4.555555556 + -4.555555556 = 0.000000000 0.000000000 + -4x + x2 = 0 + -4.555555556 -4x + x2 = 0 + -4.555555556 Combine like terms: 0 + -4.555555556 = -4.555555556 -4x + x2 = -4.555555556 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.555555556 + 4 Reorder the terms: 4 + -4x + x2 = -4.555555556 + 4 Combine like terms: -4.555555556 + 4 = -0.555555556 4 + -4x + x2 = -0.555555556 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.555555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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