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Simplifying 3t2 + -32t + 96 = 0 Reorder the terms: 96 + -32t + 3t2 = 0 Solving 96 + -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'. 32 + -10.66666667t + t2 = 0 Move the constant term to the right: Add '-32' to each side of the equation. 32 + -10.66666667t + -32 + t2 = 0 + -32 Reorder the terms: 32 + -32 + -10.66666667t + t2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -10.66666667t + t2 = 0 + -32 -10.66666667t + t2 = 0 + -32 Combine like terms: 0 + -32 = -32 -10.66666667t + t2 = -32 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 = -32 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667t + t2 = -32 + 28.44444446 Combine like terms: -32 + 28.44444446 = -3.55555554 28.44444446 + -10.66666667t + t2 = -3.55555554 Factor a perfect square on the left side: (t + -5.333333335)(t + -5.333333335) = -3.55555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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