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Simplifying 48x2 + 44x + 56 = 0 Reorder the terms: 56 + 44x + 48x2 = 0 Solving 56 + 44x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(14 + 11x + 12x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(14 + 11x + 12x2)' equal to zero and attempt to solve: Simplifying 14 + 11x + 12x2 = 0 Solving 14 + 11x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.166666667 + 0.9166666667x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.9166666667x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.9166666667x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.9166666667x + x2 = 0 + -1.166666667 0.9166666667x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.9166666667x + x2 = -1.166666667 The x term is 0.9166666667x. Take half its coefficient (0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. 0.9166666667x + 0.2100694445 + x2 = -1.166666667 + 0.2100694445 Reorder the terms: 0.2100694445 + 0.9166666667x + x2 = -1.166666667 + 0.2100694445 Combine like terms: -1.166666667 + 0.2100694445 = -0.9565972225 0.2100694445 + 0.9166666667x + x2 = -0.9565972225 Factor a perfect square on the left side: (x + 0.4583333334)(x + 0.4583333334) = -0.9565972225 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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