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Simplifying 16t2 + -2t + 885 = 390 Reorder the terms: 885 + -2t + 16t2 = 390 Solving 885 + -2t + 16t2 = 390 Solving for variable 't'. Reorder the terms: 885 + -390 + -2t + 16t2 = 390 + -390 Combine like terms: 885 + -390 = 495 495 + -2t + 16t2 = 390 + -390 Combine like terms: 390 + -390 = 0 495 + -2t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 30.9375 + -0.125t + t2 = 0 Move the constant term to the right: Add '-30.9375' to each side of the equation. 30.9375 + -0.125t + -30.9375 + t2 = 0 + -30.9375 Reorder the terms: 30.9375 + -30.9375 + -0.125t + t2 = 0 + -30.9375 Combine like terms: 30.9375 + -30.9375 = 0.0000 0.0000 + -0.125t + t2 = 0 + -30.9375 -0.125t + t2 = 0 + -30.9375 Combine like terms: 0 + -30.9375 = -30.9375 -0.125t + t2 = -30.9375 The t term is -0.125t. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125t + 0.00390625 + t2 = -30.9375 + 0.00390625 Reorder the terms: 0.00390625 + -0.125t + t2 = -30.9375 + 0.00390625 Combine like terms: -30.9375 + 0.00390625 = -30.93359375 0.00390625 + -0.125t + t2 = -30.93359375 Factor a perfect square on the left side: (t + -0.0625)(t + -0.0625) = -30.93359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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