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Simplifying (16 + -2v)(t2 + 1) = 0 Reorder the terms: (16 + -2v)(1 + t2) = 0 Multiply (16 + -2v) * (1 + t2) (16(1 + t2) + -2v * (1 + t2)) = 0 ((1 * 16 + t2 * 16) + -2v * (1 + t2)) = 0 ((16 + 16t2) + -2v * (1 + t2)) = 0 (16 + 16t2 + (1 * -2v + t2 * -2v)) = 0 Reorder the terms: (16 + 16t2 + (-2t2v + -2v)) = 0 (16 + 16t2 + (-2t2v + -2v)) = 0 (16 + 16t2 + -2t2v + -2v) = 0 Solving 16 + 16t2 + -2t2v + -2v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 16t2 + -2t2v + -16 + -2v = 0 + -16 Reorder the terms: 16 + -16 + 16t2 + -2t2v + -2v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 16t2 + -2t2v + -2v = 0 + -16 16t2 + -2t2v + -2v = 0 + -16 Combine like terms: 0 + -16 = -16 16t2 + -2t2v + -2v = -16 Add '2v' to each side of the equation. 16t2 + -2t2v + -2v + 2v = -16 + 2v Combine like terms: -2v + 2v = 0 16t2 + -2t2v + 0 = -16 + 2v 16t2 + -2t2v = -16 + 2v Reorder the terms: 16 + 16t2 + -2t2v + -2v = -16 + 2v + 16 + -2v Reorder the terms: 16 + 16t2 + -2t2v + -2v = -16 + 16 + 2v + -2v Combine like terms: -16 + 16 = 0 16 + 16t2 + -2t2v + -2v = 0 + 2v + -2v 16 + 16t2 + -2t2v + -2v = 2v + -2v Combine like terms: 2v + -2v = 0 16 + 16t2 + -2t2v + -2v = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 8t2 + -1t2v + -1v) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 8t2 + -1t2v + -1v)' equal to zero and attempt to solve: Simplifying 8 + 8t2 + -1t2v + -1v = 0 Solving 8 + 8t2 + -1t2v + -1v = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8t2 + -1t2v + -8 + -1v = 0 + -8 Reorder the terms: 8 + -8 + 8t2 + -1t2v + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8t2 + -1t2v + -1v = 0 + -8 8t2 + -1t2v + -1v = 0 + -8 Combine like terms: 0 + -8 = -8 8t2 + -1t2v + -1v = -8 Add 'v' to each side of the equation. 8t2 + -1t2v + -1v + v = -8 + v Combine like terms: -1v + v = 0 8t2 + -1t2v + 0 = -8 + v 8t2 + -1t2v = -8 + v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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