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Simplifying 0.085x2 + -3.5x + 40 = 0 Reorder the terms: 40 + -3.5x + 0.085x2 = 0 Solving 40 + -3.5x + 0.085x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.085 the coefficient of the squared term: Divide each side by '0.085'. 470.5882353 + -41.17647059x + x2 = 0 Move the constant term to the right: Add '-470.5882353' to each side of the equation. 470.5882353 + -41.17647059x + -470.5882353 + x2 = 0 + -470.5882353 Reorder the terms: 470.5882353 + -470.5882353 + -41.17647059x + x2 = 0 + -470.5882353 Combine like terms: 470.5882353 + -470.5882353 = 0.0000000 0.0000000 + -41.17647059x + x2 = 0 + -470.5882353 -41.17647059x + x2 = 0 + -470.5882353 Combine like terms: 0 + -470.5882353 = -470.5882353 -41.17647059x + x2 = -470.5882353 The x term is -41.17647059x. Take half its coefficient (-20.5882353). Square it (423.8754328) and add it to both sides. Add '423.8754328' to each side of the equation. -41.17647059x + 423.8754328 + x2 = -470.5882353 + 423.8754328 Reorder the terms: 423.8754328 + -41.17647059x + x2 = -470.5882353 + 423.8754328 Combine like terms: -470.5882353 + 423.8754328 = -46.7128025 423.8754328 + -41.17647059x + x2 = -46.7128025 Factor a perfect square on the left side: (x + -20.5882353)(x + -20.5882353) = -46.7128025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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