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Simplifying (17x + -400) + -1(4x2 + -5x + -235) = 0 Reorder the terms: (-400 + 17x) + -1(4x2 + -5x + -235) = 0 Remove parenthesis around (-400 + 17x) -400 + 17x + -1(4x2 + -5x + -235) = 0 Reorder the terms: -400 + 17x + -1(-235 + -5x + 4x2) = 0 -400 + 17x + (-235 * -1 + -5x * -1 + 4x2 * -1) = 0 -400 + 17x + (235 + 5x + -4x2) = 0 Reorder the terms: -400 + 235 + 17x + 5x + -4x2 = 0 Combine like terms: -400 + 235 = -165 -165 + 17x + 5x + -4x2 = 0 Combine like terms: 17x + 5x = 22x -165 + 22x + -4x2 = 0 Solving -165 + 22x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 41.25 + -5.5x + x2 = 0 Move the constant term to the right: Add '-41.25' to each side of the equation. 41.25 + -5.5x + -41.25 + x2 = 0 + -41.25 Reorder the terms: 41.25 + -41.25 + -5.5x + x2 = 0 + -41.25 Combine like terms: 41.25 + -41.25 = 0.00 0.00 + -5.5x + x2 = 0 + -41.25 -5.5x + x2 = 0 + -41.25 Combine like terms: 0 + -41.25 = -41.25 -5.5x + x2 = -41.25 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -41.25 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -41.25 + 7.5625 Combine like terms: -41.25 + 7.5625 = -33.6875 7.5625 + -5.5x + x2 = -33.6875 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -33.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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