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Simplifying 12t2 = 7t + -49 Reorder the terms: 12t2 = -49 + 7t Solving 12t2 = -49 + 7t Solving for variable 't'. Reorder the terms: 49 + -7t + 12t2 = -49 + 7t + 49 + -7t Reorder the terms: 49 + -7t + 12t2 = -49 + 49 + 7t + -7t Combine like terms: -49 + 49 = 0 49 + -7t + 12t2 = 0 + 7t + -7t 49 + -7t + 12t2 = 7t + -7t Combine like terms: 7t + -7t = 0 49 + -7t + 12t2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 4.083333333 + -0.5833333333t + t2 = 0 Move the constant term to the right: Add '-4.083333333' to each side of the equation. 4.083333333 + -0.5833333333t + -4.083333333 + t2 = 0 + -4.083333333 Reorder the terms: 4.083333333 + -4.083333333 + -0.5833333333t + t2 = 0 + -4.083333333 Combine like terms: 4.083333333 + -4.083333333 = 0.000000000 0.000000000 + -0.5833333333t + t2 = 0 + -4.083333333 -0.5833333333t + t2 = 0 + -4.083333333 Combine like terms: 0 + -4.083333333 = -4.083333333 -0.5833333333t + t2 = -4.083333333 The t term is -0.5833333333t. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333t + 0.08506944446 + t2 = -4.083333333 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333t + t2 = -4.083333333 + 0.08506944446 Combine like terms: -4.083333333 + 0.08506944446 = -3.99826388854 0.08506944446 + -0.5833333333t + t2 = -3.99826388854 Factor a perfect square on the left side: (t + -0.2916666667)(t + -0.2916666667) = -3.99826388854 Can't calculate square root of the right side. The solution to this equation could not be determined.
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