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Simplifying 0.25x2 + -10x + 800 = 20 Reorder the terms: 800 + -10x + 0.25x2 = 20 Solving 800 + -10x + 0.25x2 = 20 Solving for variable 'x'. Reorder the terms: 800 + -20 + -10x + 0.25x2 = 20 + -20 Combine like terms: 800 + -20 = 780 780 + -10x + 0.25x2 = 20 + -20 Combine like terms: 20 + -20 = 0 780 + -10x + 0.25x2 = 0 Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 3120 + -40x + x2 = 0 Move the constant term to the right: Add '-3120' to each side of the equation. 3120 + -40x + -3120 + x2 = 0 + -3120 Reorder the terms: 3120 + -3120 + -40x + x2 = 0 + -3120 Combine like terms: 3120 + -3120 = 0 0 + -40x + x2 = 0 + -3120 -40x + x2 = 0 + -3120 Combine like terms: 0 + -3120 = -3120 -40x + x2 = -3120 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -3120 + 400 Reorder the terms: 400 + -40x + x2 = -3120 + 400 Combine like terms: -3120 + 400 = -2720 400 + -40x + x2 = -2720 Factor a perfect square on the left side: (x + -20)(x + -20) = -2720 Can't calculate square root of the right side. The solution to this equation could not be determined.
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