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Simplifying 0.04x2 + -3.5x + 100 = 10 Reorder the terms: 100 + -3.5x + 0.04x2 = 10 Solving 100 + -3.5x + 0.04x2 = 10 Solving for variable 'x'. Reorder the terms: 100 + -10 + -3.5x + 0.04x2 = 10 + -10 Combine like terms: 100 + -10 = 90 90 + -3.5x + 0.04x2 = 10 + -10 Combine like terms: 10 + -10 = 0 90 + -3.5x + 0.04x2 = 0 Begin completing the square. Divide all terms by 0.04 the coefficient of the squared term: Divide each side by '0.04'. 2250 + -87.5x + x2 = 0 Move the constant term to the right: Add '-2250' to each side of the equation. 2250 + -87.5x + -2250 + x2 = 0 + -2250 Reorder the terms: 2250 + -2250 + -87.5x + x2 = 0 + -2250 Combine like terms: 2250 + -2250 = 0 0 + -87.5x + x2 = 0 + -2250 -87.5x + x2 = 0 + -2250 Combine like terms: 0 + -2250 = -2250 -87.5x + x2 = -2250 The x term is -87.5x. Take half its coefficient (-43.75). Square it (1914.0625) and add it to both sides. Add '1914.0625' to each side of the equation. -87.5x + 1914.0625 + x2 = -2250 + 1914.0625 Reorder the terms: 1914.0625 + -87.5x + x2 = -2250 + 1914.0625 Combine like terms: -2250 + 1914.0625 = -335.9375 1914.0625 + -87.5x + x2 = -335.9375 Factor a perfect square on the left side: (x + -43.75)(x + -43.75) = -335.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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