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Simplifying 24x2 + -10x + 44 = 0 Reorder the terms: 44 + -10x + 24x2 = 0 Solving 44 + -10x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(22 + -5x + 12x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(22 + -5x + 12x2)' equal to zero and attempt to solve: Simplifying 22 + -5x + 12x2 = 0 Solving 22 + -5x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.833333333 + -0.4166666667x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -0.4166666667x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -0.4166666667x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -0.4166666667x + x2 = 0 + -1.833333333 -0.4166666667x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -0.4166666667x + x2 = -1.833333333 The x term is -0.4166666667x. Take half its coefficient (-0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. -0.4166666667x + 0.04340277781 + x2 = -1.833333333 + 0.04340277781 Reorder the terms: 0.04340277781 + -0.4166666667x + x2 = -1.833333333 + 0.04340277781 Combine like terms: -1.833333333 + 0.04340277781 = -1.78993055519 0.04340277781 + -0.4166666667x + x2 = -1.78993055519 Factor a perfect square on the left side: (x + -0.2083333334)(x + -0.2083333334) = -1.78993055519 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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