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Simplifying -38x2 + 72x + -66 = 0 Reorder the terms: -66 + 72x + -38x2 = 0 Solving -66 + 72x + -38x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + 36x + -19x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-33 + 36x + -19x2)' equal to zero and attempt to solve: Simplifying -33 + 36x + -19x2 = 0 Solving -33 + 36x + -19x2 = 0 Begin completing the square. Divide all terms by -19 the coefficient of the squared term: Divide each side by '-19'. 1.736842105 + -1.894736842x + x2 = 0 Move the constant term to the right: Add '-1.736842105' to each side of the equation. 1.736842105 + -1.894736842x + -1.736842105 + x2 = 0 + -1.736842105 Reorder the terms: 1.736842105 + -1.736842105 + -1.894736842x + x2 = 0 + -1.736842105 Combine like terms: 1.736842105 + -1.736842105 = 0.000000000 0.000000000 + -1.894736842x + x2 = 0 + -1.736842105 -1.894736842x + x2 = 0 + -1.736842105 Combine like terms: 0 + -1.736842105 = -1.736842105 -1.894736842x + x2 = -1.736842105 The x term is -1.894736842x. Take half its coefficient (-0.947368421). Square it (0.8975069251) and add it to both sides. Add '0.8975069251' to each side of the equation. -1.894736842x + 0.8975069251 + x2 = -1.736842105 + 0.8975069251 Reorder the terms: 0.8975069251 + -1.894736842x + x2 = -1.736842105 + 0.8975069251 Combine like terms: -1.736842105 + 0.8975069251 = -0.8393351799 0.8975069251 + -1.894736842x + x2 = -0.8393351799 Factor a perfect square on the left side: (x + -0.947368421)(x + -0.947368421) = -0.8393351799 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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