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Simplifying 0 = 5x2 + -9x + 5 Reorder the terms: 0 = 5 + -9x + 5x2 Solving 0 = 5 + -9x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + 9x + -5x2 = 5 + -9x + 5x2 + -5 + 9x + -5x2 Reorder the terms: -5 + 9x + -5x2 = 5 + -5 + -9x + 9x + 5x2 + -5x2 Combine like terms: 5 + -5 = 0 -5 + 9x + -5x2 = 0 + -9x + 9x + 5x2 + -5x2 -5 + 9x + -5x2 = -9x + 9x + 5x2 + -5x2 Combine like terms: -9x + 9x = 0 -5 + 9x + -5x2 = 0 + 5x2 + -5x2 -5 + 9x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5 + 9x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1 + -1.8x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.8x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.8x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.8x + x2 = 0 + -1 -1.8x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.8x + x2 = -1 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 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -1 + 0.81 Combine like terms: -1 + 0.81 = -0.19 0.81 + -1.8x + x2 = -0.19 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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