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Simplifying 104t2 + -12t + 18 = 0 Reorder the terms: 18 + -12t + 104t2 = 0 Solving 18 + -12t + 104t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -6t + 52t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -6t + 52t2)' equal to zero and attempt to solve: Simplifying 9 + -6t + 52t2 = 0 Solving 9 + -6t + 52t2 = 0 Begin completing the square. Divide all terms by 52 the coefficient of the squared term: Divide each side by '52'. 0.1730769231 + -0.1153846154t + t2 = 0 Move the constant term to the right: Add '-0.1730769231' to each side of the equation. 0.1730769231 + -0.1153846154t + -0.1730769231 + t2 = 0 + -0.1730769231 Reorder the terms: 0.1730769231 + -0.1730769231 + -0.1153846154t + t2 = 0 + -0.1730769231 Combine like terms: 0.1730769231 + -0.1730769231 = 0.0000000000 0.0000000000 + -0.1153846154t + t2 = 0 + -0.1730769231 -0.1153846154t + t2 = 0 + -0.1730769231 Combine like terms: 0 + -0.1730769231 = -0.1730769231 -0.1153846154t + t2 = -0.1730769231 The t term is -0.1153846154t. Take half its coefficient (-0.0576923077). Square it (0.003328402368) and add it to both sides. Add '0.003328402368' to each side of the equation. -0.1153846154t + 0.003328402368 + t2 = -0.1730769231 + 0.003328402368 Reorder the terms: 0.003328402368 + -0.1153846154t + t2 = -0.1730769231 + 0.003328402368 Combine like terms: -0.1730769231 + 0.003328402368 = -0.169748520732 0.003328402368 + -0.1153846154t + t2 = -0.169748520732 Factor a perfect square on the left side: (t + -0.0576923077)(t + -0.0576923077) = -0.169748520732 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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