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Simplifying 4t2 + -12t + 25 = 0 Reorder the terms: 25 + -12t + 4t2 = 0 Solving 25 + -12t + 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'. 6.25 + -3t + t2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -3t + -6.25 + t2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -3t + t2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -3t + t2 = 0 + -6.25 -3t + t2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -3t + t2 = -6.25 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = -6.25 + 2.25 Reorder the terms: 2.25 + -3t + t2 = -6.25 + 2.25 Combine like terms: -6.25 + 2.25 = -4 2.25 + -3t + t2 = -4 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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