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Simplifying -32t2 + 55t + 4 = 36 Reorder the terms: 4 + 55t + -32t2 = 36 Solving 4 + 55t + -32t2 = 36 Solving for variable 't'. Reorder the terms: 4 + -36 + 55t + -32t2 = 36 + -36 Combine like terms: 4 + -36 = -32 -32 + 55t + -32t2 = 36 + -36 Combine like terms: 36 + -36 = 0 -32 + 55t + -32t2 = 0 Begin completing the square. Divide all terms by -32 the coefficient of the squared term: Divide each side by '-32'. 1 + -1.71875t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.71875t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + -1.71875t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.71875t + t2 = 0 + -1 -1.71875t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.71875t + t2 = -1 The t term is -1.71875t. Take half its coefficient (-0.859375). Square it (0.7385253906) and add it to both sides. Add '0.7385253906' to each side of the equation. -1.71875t + 0.7385253906 + t2 = -1 + 0.7385253906 Reorder the terms: 0.7385253906 + -1.71875t + t2 = -1 + 0.7385253906 Combine like terms: -1 + 0.7385253906 = -0.2614746094 0.7385253906 + -1.71875t + t2 = -0.2614746094 Factor a perfect square on the left side: (t + -0.859375)(t + -0.859375) = -0.2614746094 Can't calculate square root of the right side. The solution to this equation could not be determined.
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