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Simplifying 0 = x2 + -40x + 800 Reorder the terms: 0 = 800 + -40x + x2 Solving 0 = 800 + -40x + x2 Solving for variable 'x'. Combine like terms: 0 + -800 = -800 -800 + 40x + -1x2 = 800 + -40x + x2 + -800 + 40x + -1x2 Reorder the terms: -800 + 40x + -1x2 = 800 + -800 + -40x + 40x + x2 + -1x2 Combine like terms: 800 + -800 = 0 -800 + 40x + -1x2 = 0 + -40x + 40x + x2 + -1x2 -800 + 40x + -1x2 = -40x + 40x + x2 + -1x2 Combine like terms: -40x + 40x = 0 -800 + 40x + -1x2 = 0 + x2 + -1x2 -800 + 40x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -800 + 40x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 800 + -40x + x2 = 0 Move the constant term to the right: Add '-800' to each side of the equation. 800 + -40x + -800 + x2 = 0 + -800 Reorder the terms: 800 + -800 + -40x + x2 = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -40x + x2 = 0 + -800 -40x + x2 = 0 + -800 Combine like terms: 0 + -800 = -800 -40x + x2 = -800 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 = -800 + 400 Reorder the terms: 400 + -40x + x2 = -800 + 400 Combine like terms: -800 + 400 = -400 400 + -40x + x2 = -400 Factor a perfect square on the left side: (x + -20)(x + -20) = -400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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