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Simplifying 14x2 + -88x + 192 = 0 Reorder the terms: 192 + -88x + 14x2 = 0 Solving 192 + -88x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(96 + -44x + 7x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(96 + -44x + 7x2)' equal to zero and attempt to solve: Simplifying 96 + -44x + 7x2 = 0 Solving 96 + -44x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 13.71428571 + -6.285714286x + x2 = 0 Move the constant term to the right: Add '-13.71428571' to each side of the equation. 13.71428571 + -6.285714286x + -13.71428571 + x2 = 0 + -13.71428571 Reorder the terms: 13.71428571 + -13.71428571 + -6.285714286x + x2 = 0 + -13.71428571 Combine like terms: 13.71428571 + -13.71428571 = 0.00000000 0.00000000 + -6.285714286x + x2 = 0 + -13.71428571 -6.285714286x + x2 = 0 + -13.71428571 Combine like terms: 0 + -13.71428571 = -13.71428571 -6.285714286x + x2 = -13.71428571 The x term is -6.285714286x. Take half its coefficient (-3.142857143). Square it (9.877551021) and add it to both sides. Add '9.877551021' to each side of the equation. -6.285714286x + 9.877551021 + x2 = -13.71428571 + 9.877551021 Reorder the terms: 9.877551021 + -6.285714286x + x2 = -13.71428571 + 9.877551021 Combine like terms: -13.71428571 + 9.877551021 = -3.836734689 9.877551021 + -6.285714286x + x2 = -3.836734689 Factor a perfect square on the left side: (x + -3.142857143)(x + -3.142857143) = -3.836734689 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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