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Simplifying 10t2 + 3t + 4 = 0 Reorder the terms: 4 + 3t + 10t2 = 0 Solving 4 + 3t + 10t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.4 + 0.3t + t2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.3t + -0.4 + t2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.3t + t2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.3t + t2 = 0 + -0.4 0.3t + t2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.3t + t2 = -0.4 The t term is 0.3t. Take half its coefficient (0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. 0.3t + 0.0225 + t2 = -0.4 + 0.0225 Reorder the terms: 0.0225 + 0.3t + t2 = -0.4 + 0.0225 Combine like terms: -0.4 + 0.0225 = -0.3775 0.0225 + 0.3t + t2 = -0.3775 Factor a perfect square on the left side: (t + 0.15)(t + 0.15) = -0.3775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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