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Simplifying -18t2 + -39t + -26 = 0 Reorder the terms: -26 + -39t + -18t2 = 0 Solving -26 + -39t + -18t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1'. -1(26 + 39t + 18t2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(26 + 39t + 18t2)' equal to zero and attempt to solve: Simplifying 26 + 39t + 18t2 = 0 Solving 26 + 39t + 18t2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.444444444 + 2.166666667t + t2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + 2.166666667t + -1.444444444 + t2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + 2.166666667t + t2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + 2.166666667t + t2 = 0 + -1.444444444 2.166666667t + t2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 2.166666667t + t2 = -1.444444444 The t term is 2.166666667t. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667t + 1.173611113 + t2 = -1.444444444 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667t + t2 = -1.444444444 + 1.173611113 Combine like terms: -1.444444444 + 1.173611113 = -0.270833331 1.173611113 + 2.166666667t + t2 = -0.270833331 Factor a perfect square on the left side: (t + 1.083333334)(t + 1.083333334) = -0.270833331 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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