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Simplifying 3t2 + -14t + 32 = 0 Reorder the terms: 32 + -14t + 3t2 = 0 Solving 32 + -14t + 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'. 10.66666667 + -4.666666667t + t2 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + -4.666666667t + -10.66666667 + t2 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + -4.666666667t + t2 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + -4.666666667t + t2 = 0 + -10.66666667 -4.666666667t + t2 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 -4.666666667t + t2 = -10.66666667 The t term is -4.666666667t. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667t + 5.444444448 + t2 = -10.66666667 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667t + t2 = -10.66666667 + 5.444444448 Combine like terms: -10.66666667 + 5.444444448 = -5.222222222 5.444444448 + -4.666666667t + t2 = -5.222222222 Factor a perfect square on the left side: (t + -2.333333334)(t + -2.333333334) = -5.222222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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