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Simplifying 12t2 + -5t + 6.25 = 0 Reorder the terms: 6.25 + -5t + 12t2 = 0 Solving 6.25 + -5t + 12t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5208333333 + -0.4166666667t + t2 = 0 Move the constant term to the right: Add '-0.5208333333' to each side of the equation. 0.5208333333 + -0.4166666667t + -0.5208333333 + t2 = 0 + -0.5208333333 Reorder the terms: 0.5208333333 + -0.5208333333 + -0.4166666667t + t2 = 0 + -0.5208333333 Combine like terms: 0.5208333333 + -0.5208333333 = 0.0000000000 0.0000000000 + -0.4166666667t + t2 = 0 + -0.5208333333 -0.4166666667t + t2 = 0 + -0.5208333333 Combine like terms: 0 + -0.5208333333 = -0.5208333333 -0.4166666667t + t2 = -0.5208333333 The t term is -0.4166666667t. Take half its coefficient (-0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. -0.4166666667t + 0.04340277781 + t2 = -0.5208333333 + 0.04340277781 Reorder the terms: 0.04340277781 + -0.4166666667t + t2 = -0.5208333333 + 0.04340277781 Combine like terms: -0.5208333333 + 0.04340277781 = -0.47743055549 0.04340277781 + -0.4166666667t + t2 = -0.47743055549 Factor a perfect square on the left side: (t + -0.2083333334)(t + -0.2083333334) = -0.47743055549 Can't calculate square root of the right side. The solution to this equation could not be determined.
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