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Simplifying (-4x2 + -6) + (-2x2 + 19x) = 180 Reorder the terms: (-6 + -4x2) + (-2x2 + 19x) = 180 Remove parenthesis around (-6 + -4x2) -6 + -4x2 + (-2x2 + 19x) = 180 Reorder the terms: -6 + -4x2 + (19x + -2x2) = 180 Remove parenthesis around (19x + -2x2) -6 + -4x2 + 19x + -2x2 = 180 Reorder the terms: -6 + 19x + -4x2 + -2x2 = 180 Combine like terms: -4x2 + -2x2 = -6x2 -6 + 19x + -6x2 = 180 Solving -6 + 19x + -6x2 = 180 Solving for variable 'x'. Reorder the terms: -6 + -180 + 19x + -6x2 = 180 + -180 Combine like terms: -6 + -180 = -186 -186 + 19x + -6x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -186 + 19x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 31 + -3.166666667x + x2 = 0 Move the constant term to the right: Add '-31' to each side of the equation. 31 + -3.166666667x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + -3.166666667x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -3.166666667x + x2 = 0 + -31 -3.166666667x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 -3.166666667x + x2 = -31 The x term is -3.166666667x. Take half its coefficient (-1.583333334). Square it (2.506944447) and add it to both sides. Add '2.506944447' to each side of the equation. -3.166666667x + 2.506944447 + x2 = -31 + 2.506944447 Reorder the terms: 2.506944447 + -3.166666667x + x2 = -31 + 2.506944447 Combine like terms: -31 + 2.506944447 = -28.493055553 2.506944447 + -3.166666667x + x2 = -28.493055553 Factor a perfect square on the left side: (x + -1.583333334)(x + -1.583333334) = -28.493055553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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