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Simplifying 4t2 + -15t + 32 = 0 Reorder the terms: 32 + -15t + 4t2 = 0 Solving 32 + -15t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8 + -3.75t + t2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3.75t + -8 + t2 = 0 + -8 Reorder the terms: 8 + -8 + -3.75t + t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3.75t + t2 = 0 + -8 -3.75t + t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3.75t + t2 = -8 The t term is -3.75t. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75t + 3.515625 + t2 = -8 + 3.515625 Reorder the terms: 3.515625 + -3.75t + t2 = -8 + 3.515625 Combine like terms: -8 + 3.515625 = -4.484375 3.515625 + -3.75t + t2 = -4.484375 Factor a perfect square on the left side: (t + -1.875)(t + -1.875) = -4.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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