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Simplifying 0.1 = 0.6t + -1t2 Solving 0.1 = 0.6t + -1t2 Solving for variable 't'. Reorder the terms: 0.1 + -0.6t + t2 = 0.6t + -0.6t + -1t2 + t2 Combine like terms: 0.6t + -0.6t = 0.0 0.1 + -0.6t + t2 = 0.0 + -1t2 + t2 0.1 + -0.6t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 0.1 + -0.6t + t2 = 0 Begin completing the square. 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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