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Simplifying -0.01x2 + 1.8x + -106 = 0 Reorder the terms: -106 + 1.8x + -0.01x2 = 0 Solving -106 + 1.8x + -0.01x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. 10600 + -180x + x2 = 0 Move the constant term to the right: Add '-10600' to each side of the equation. 10600 + -180x + -10600 + x2 = 0 + -10600 Reorder the terms: 10600 + -10600 + -180x + x2 = 0 + -10600 Combine like terms: 10600 + -10600 = 0 0 + -180x + x2 = 0 + -10600 -180x + x2 = 0 + -10600 Combine like terms: 0 + -10600 = -10600 -180x + x2 = -10600 The x term is -180x. Take half its coefficient (-90). Square it (8100) and add it to both sides. Add '8100' to each side of the equation. -180x + 8100 + x2 = -10600 + 8100 Reorder the terms: 8100 + -180x + x2 = -10600 + 8100 Combine like terms: -10600 + 8100 = -2500 8100 + -180x + x2 = -2500 Factor a perfect square on the left side: (x + -90)(x + -90) = -2500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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