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Simplifying 0 = x2 + -1.8x + 10 Reorder the terms: 0 = 10 + -1.8x + x2 Solving 0 = 10 + -1.8x + x2 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + 1.8x + -1x2 = 10 + -1.8x + x2 + -10 + 1.8x + -1x2 Reorder the terms: -10 + 1.8x + -1x2 = 10 + -10 + -1.8x + 1.8x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -10 + 1.8x + -1x2 = 0 + -1.8x + 1.8x + x2 + -1x2 -10 + 1.8x + -1x2 = -1.8x + 1.8x + x2 + -1x2 Combine like terms: -1.8x + 1.8x = 0.0 -10 + 1.8x + -1x2 = 0.0 + x2 + -1x2 -10 + 1.8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 1.8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -1.8x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -1.8x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -1.8x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1.8x + x2 = 0 + -10 -1.8x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1.8x + x2 = -10 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 = -10 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -10 + 0.81 Combine like terms: -10 + 0.81 = -9.19 0.81 + -1.8x + x2 = -9.19 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -9.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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