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Simplifying -5x2 = -9x + 6 Reorder the terms: -5x2 = 6 + -9x Solving -5x2 = 6 + -9x Solving for variable 'x'. Reorder the terms: -6 + 9x + -5x2 = 6 + -9x + -6 + 9x Reorder the terms: -6 + 9x + -5x2 = 6 + -6 + -9x + 9x Combine like terms: 6 + -6 = 0 -6 + 9x + -5x2 = 0 + -9x + 9x -6 + 9x + -5x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 9x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -1.8x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.8x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.8x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.8x + x2 = 0 + -1.2 -1.8x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -1.8x + x2 = -1.2 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -1.2 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -1.2 + 0.81 Combine like terms: -1.2 + 0.81 = -0.39 0.81 + -1.8x + x2 = -0.39 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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