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Simplifying -7x2 + -22x + -44 = 0 Reorder the terms: -44 + -22x + -7x2 = 0 Solving -44 + -22x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(44 + 22x + 7x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(44 + 22x + 7x2)' equal to zero and attempt to solve: Simplifying 44 + 22x + 7x2 = 0 Solving 44 + 22x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.285714286 + 3.142857143x + x2 = 0 Move the constant term to the right: Add '-6.285714286' to each side of the equation. 6.285714286 + 3.142857143x + -6.285714286 + x2 = 0 + -6.285714286 Reorder the terms: 6.285714286 + -6.285714286 + 3.142857143x + x2 = 0 + -6.285714286 Combine like terms: 6.285714286 + -6.285714286 = 0.000000000 0.000000000 + 3.142857143x + x2 = 0 + -6.285714286 3.142857143x + x2 = 0 + -6.285714286 Combine like terms: 0 + -6.285714286 = -6.285714286 3.142857143x + x2 = -6.285714286 The x term is 3.142857143x. Take half its coefficient (1.571428572). Square it (2.469387757) and add it to both sides. Add '2.469387757' to each side of the equation. 3.142857143x + 2.469387757 + x2 = -6.285714286 + 2.469387757 Reorder the terms: 2.469387757 + 3.142857143x + x2 = -6.285714286 + 2.469387757 Combine like terms: -6.285714286 + 2.469387757 = -3.816326529 2.469387757 + 3.142857143x + x2 = -3.816326529 Factor a perfect square on the left side: (x + 1.571428572)(x + 1.571428572) = -3.816326529 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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