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Simplifying 0.5 = 3t + -5t2 Solving 0.5 = 3t + -5t2 Solving for variable 't'. Reorder the terms: 0.5 + -3t + 5t2 = 3t + -3t + -5t2 + 5t2 Combine like terms: 3t + -3t = 0 0.5 + -3t + 5t2 = 0 + -5t2 + 5t2 0.5 + -3t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 0.5 + -3t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.1 + -0.6t + t2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.6t + -0.1 + t2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.6t + t2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.6t + t2 = 0 + -0.1 -0.6t + t2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.6t + t2 = -0.1 The t term is -0.6t. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6t + 0.09 + t2 = -0.1 + 0.09 Reorder the terms: 0.09 + -0.6t + t2 = -0.1 + 0.09 Combine like terms: -0.1 + 0.09 = -0.01 0.09 + -0.6t + t2 = -0.01 Factor a perfect square on the left side: (t + -0.3)(t + -0.3) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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