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Simplifying 0.5x2 + -10x + 125 = 40 Reorder the terms: 125 + -10x + 0.5x2 = 40 Solving 125 + -10x + 0.5x2 = 40 Solving for variable 'x'. Reorder the terms: 125 + -40 + -10x + 0.5x2 = 40 + -40 Combine like terms: 125 + -40 = 85 85 + -10x + 0.5x2 = 40 + -40 Combine like terms: 40 + -40 = 0 85 + -10x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 170 + -20x + x2 = 0 Move the constant term to the right: Add '-170' to each side of the equation. 170 + -20x + -170 + x2 = 0 + -170 Reorder the terms: 170 + -170 + -20x + x2 = 0 + -170 Combine like terms: 170 + -170 = 0 0 + -20x + x2 = 0 + -170 -20x + x2 = 0 + -170 Combine like terms: 0 + -170 = -170 -20x + x2 = -170 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -170 + 100 Reorder the terms: 100 + -20x + x2 = -170 + 100 Combine like terms: -170 + 100 = -70 100 + -20x + x2 = -70 Factor a perfect square on the left side: (x + -10)(x + -10) = -70 Can't calculate square root of the right side. The solution to this equation could not be determined.
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