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Simplifying 5t2 + -7t + 4 = 0 Reorder the terms: 4 + -7t + 5t2 = 0 Solving 4 + -7t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -1.4t + t2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -1.4t + -0.8 + t2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -1.4t + t2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.4t + t2 = 0 + -0.8 -1.4t + t2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -1.4t + t2 = -0.8 The t term is -1.4t. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4t + 0.49 + t2 = -0.8 + 0.49 Reorder the terms: 0.49 + -1.4t + t2 = -0.8 + 0.49 Combine like terms: -0.8 + 0.49 = -0.31 0.49 + -1.4t + t2 = -0.31 Factor a perfect square on the left side: (t + -0.7)(t + -0.7) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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