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Simplifying 23t + -16t2 = 9 Solving 23t + -16t2 = 9 Solving for variable 't'. Reorder the terms: -9 + 23t + -16t2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 23t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.5625 + -1.4375t + t2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + -1.4375t + -0.5625 + t2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + -1.4375t + t2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + -1.4375t + t2 = 0 + -0.5625 -1.4375t + t2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 -1.4375t + t2 = -0.5625 The t term is -1.4375t. Take half its coefficient (-0.71875). Square it (0.5166015625) and add it to both sides. Add '0.5166015625' to each side of the equation. -1.4375t + 0.5166015625 + t2 = -0.5625 + 0.5166015625 Reorder the terms: 0.5166015625 + -1.4375t + t2 = -0.5625 + 0.5166015625 Combine like terms: -0.5625 + 0.5166015625 = -0.0458984375 0.5166015625 + -1.4375t + t2 = -0.0458984375 Factor a perfect square on the left side: (t + -0.71875)(t + -0.71875) = -0.0458984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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