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Simplifying 42x + -5x2 = 9886 Solving 42x + -5x2 = 9886 Solving for variable 'x'. Reorder the terms: -9886 + 42x + -5x2 = 9886 + -9886 Combine like terms: 9886 + -9886 = 0 -9886 + 42x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1977.2 + -8.4x + x2 = 0 Move the constant term to the right: Add '-1977.2' to each side of the equation. 1977.2 + -8.4x + -1977.2 + x2 = 0 + -1977.2 Reorder the terms: 1977.2 + -1977.2 + -8.4x + x2 = 0 + -1977.2 Combine like terms: 1977.2 + -1977.2 = 0.0 0.0 + -8.4x + x2 = 0 + -1977.2 -8.4x + x2 = 0 + -1977.2 Combine like terms: 0 + -1977.2 = -1977.2 -8.4x + x2 = -1977.2 The x term is -8.4x. Take half its coefficient (-4.2). Square it (17.64) and add it to both sides. Add '17.64' to each side of the equation. -8.4x + 17.64 + x2 = -1977.2 + 17.64 Reorder the terms: 17.64 + -8.4x + x2 = -1977.2 + 17.64 Combine like terms: -1977.2 + 17.64 = -1959.56 17.64 + -8.4x + x2 = -1959.56 Factor a perfect square on the left side: (x + -4.2)(x + -4.2) = -1959.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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