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Simplifying 3t2 + -32t + 136 = 0 Reorder the terms: 136 + -32t + 3t2 = 0 Solving 136 + -32t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 45.33333333 + -10.66666667t + t2 = 0 Move the constant term to the right: Add '-45.33333333' to each side of the equation. 45.33333333 + -10.66666667t + -45.33333333 + t2 = 0 + -45.33333333 Reorder the terms: 45.33333333 + -45.33333333 + -10.66666667t + t2 = 0 + -45.33333333 Combine like terms: 45.33333333 + -45.33333333 = 0.00000000 0.00000000 + -10.66666667t + t2 = 0 + -45.33333333 -10.66666667t + t2 = 0 + -45.33333333 Combine like terms: 0 + -45.33333333 = -45.33333333 -10.66666667t + t2 = -45.33333333 The t term is -10.66666667t. Take half its coefficient (-5.333333335). Square it (28.44444446) and add it to both sides. Add '28.44444446' to each side of the equation. -10.66666667t + 28.44444446 + t2 = -45.33333333 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667t + t2 = -45.33333333 + 28.44444446 Combine like terms: -45.33333333 + 28.44444446 = -16.88888887 28.44444446 + -10.66666667t + t2 = -16.88888887 Factor a perfect square on the left side: (t + -5.333333335)(t + -5.333333335) = -16.88888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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