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Simplifying -16t2 + 20t + 5 = 30 Reorder the terms: 5 + 20t + -16t2 = 30 Solving 5 + 20t + -16t2 = 30 Solving for variable 't'. Reorder the terms: 5 + -30 + 20t + -16t2 = 30 + -30 Combine like terms: 5 + -30 = -25 -25 + 20t + -16t2 = 30 + -30 Combine like terms: 30 + -30 = 0 -25 + 20t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.5625 + -1.25t + t2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -1.25t + -1.5625 + t2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -1.25t + t2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -1.25t + t2 = 0 + -1.5625 -1.25t + t2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -1.25t + t2 = -1.5625 The t term is -1.25t. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25t + 0.390625 + t2 = -1.5625 + 0.390625 Reorder the terms: 0.390625 + -1.25t + t2 = -1.5625 + 0.390625 Combine like terms: -1.5625 + 0.390625 = -1.171875 0.390625 + -1.25t + t2 = -1.171875 Factor a perfect square on the left side: (t + -0.625)(t + -0.625) = -1.171875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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