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Simplifying 0 = 44x2 + -88x + 74 Reorder the terms: 0 = 74 + -88x + 44x2 Solving 0 = 74 + -88x + 44x2 Solving for variable 'x'. Combine like terms: 0 + -74 = -74 -74 + 88x + -44x2 = 74 + -88x + 44x2 + -74 + 88x + -44x2 Reorder the terms: -74 + 88x + -44x2 = 74 + -74 + -88x + 88x + 44x2 + -44x2 Combine like terms: 74 + -74 = 0 -74 + 88x + -44x2 = 0 + -88x + 88x + 44x2 + -44x2 -74 + 88x + -44x2 = -88x + 88x + 44x2 + -44x2 Combine like terms: -88x + 88x = 0 -74 + 88x + -44x2 = 0 + 44x2 + -44x2 -74 + 88x + -44x2 = 44x2 + -44x2 Combine like terms: 44x2 + -44x2 = 0 -74 + 88x + -44x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-37 + 44x + -22x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-37 + 44x + -22x2)' equal to zero and attempt to solve: Simplifying -37 + 44x + -22x2 = 0 Solving -37 + 44x + -22x2 = 0 Begin completing the square. Divide all terms by -22 the coefficient of the squared term: Divide each side by '-22'. 1.681818182 + -2x + x2 = 0 Move the constant term to the right: Add '-1.681818182' to each side of the equation. 1.681818182 + -2x + -1.681818182 + x2 = 0 + -1.681818182 Reorder the terms: 1.681818182 + -1.681818182 + -2x + x2 = 0 + -1.681818182 Combine like terms: 1.681818182 + -1.681818182 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.681818182 -2x + x2 = 0 + -1.681818182 Combine like terms: 0 + -1.681818182 = -1.681818182 -2x + x2 = -1.681818182 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.681818182 + 1 Reorder the terms: 1 + -2x + x2 = -1.681818182 + 1 Combine like terms: -1.681818182 + 1 = -0.681818182 1 + -2x + x2 = -0.681818182 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.681818182 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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