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Simplifying 5t2 + -12t + 80 = 0 Reorder the terms: 80 + -12t + 5t2 = 0 Solving 80 + -12t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16 + -2.4t + t2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2.4t + -16 + t2 = 0 + -16 Reorder the terms: 16 + -16 + -2.4t + t2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2.4t + t2 = 0 + -16 -2.4t + t2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2.4t + t2 = -16 The t term is -2.4t. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4t + 1.44 + t2 = -16 + 1.44 Reorder the terms: 1.44 + -2.4t + t2 = -16 + 1.44 Combine like terms: -16 + 1.44 = -14.56 1.44 + -2.4t + t2 = -14.56 Factor a perfect square on the left side: (t + -1.2)(t + -1.2) = -14.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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