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Simplifying 74x + -1(x2) + -1840 = 0 Reorder the terms: -1840 + 74x + -1x2 = 0 Solving -1840 + 74x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1840 + -74x + x2 = 0 Move the constant term to the right: Add '-1840' to each side of the equation. 1840 + -74x + -1840 + x2 = 0 + -1840 Reorder the terms: 1840 + -1840 + -74x + x2 = 0 + -1840 Combine like terms: 1840 + -1840 = 0 0 + -74x + x2 = 0 + -1840 -74x + x2 = 0 + -1840 Combine like terms: 0 + -1840 = -1840 -74x + x2 = -1840 The x term is -74x. Take half its coefficient (-37). Square it (1369) and add it to both sides. Add '1369' to each side of the equation. -74x + 1369 + x2 = -1840 + 1369 Reorder the terms: 1369 + -74x + x2 = -1840 + 1369 Combine like terms: -1840 + 1369 = -471 1369 + -74x + x2 = -471 Factor a perfect square on the left side: (x + -37)(x + -37) = -471 Can't calculate square root of the right side. The solution to this equation could not be determined.
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