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Simplifying (T + 2)(4t2 + 11 + -3) = 0 Reorder the terms: (2 + T)(4t2 + 11 + -3) = 0 Reorder the terms: (2 + T)(11 + -3 + 4t2) = 0 Combine like terms: 11 + -3 = 8 (2 + T)(8 + 4t2) = 0 Multiply (2 + T) * (8 + 4t2) (2(8 + 4t2) + T(8 + 4t2)) = 0 ((8 * 2 + 4t2 * 2) + T(8 + 4t2)) = 0 ((16 + 8t2) + T(8 + 4t2)) = 0 (16 + 8t2 + (8 * T + 4t2 * T)) = 0 (16 + 8t2 + (8T + 4t2T)) = 0 Reorder the terms: (16 + 8T + 8t2 + 4t2T) = 0 (16 + 8T + 8t2 + 4t2T) = 0 Solving 16 + 8T + 8t2 + 4t2T = 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 + 8T + 8t2 + -16 + 4t2T = 0 + -16 Reorder the terms: 16 + -16 + 8T + 8t2 + 4t2T = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8T + 8t2 + 4t2T = 0 + -16 8T + 8t2 + 4t2T = 0 + -16 Combine like terms: 0 + -16 = -16 8T + 8t2 + 4t2T = -16 Add '-8t2' to each side of the equation. 8T + 8t2 + -8t2 + 4t2T = -16 + -8t2 Combine like terms: 8t2 + -8t2 = 0 8T + 0 + 4t2T = -16 + -8t2 8T + 4t2T = -16 + -8t2 Reorder the terms: 16 + 8T + 8t2 + 4t2T = -16 + -8t2 + 16 + 8t2 Reorder the terms: 16 + 8T + 8t2 + 4t2T = -16 + 16 + -8t2 + 8t2 Combine like terms: -16 + 16 = 0 16 + 8T + 8t2 + 4t2T = 0 + -8t2 + 8t2 16 + 8T + 8t2 + 4t2T = -8t2 + 8t2 Combine like terms: -8t2 + 8t2 = 0 16 + 8T + 8t2 + 4t2T = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 2T + 2t2 + t2T) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + 2T + 2t2 + t2T)' equal to zero and attempt to solve: Simplifying 4 + 2T + 2t2 + t2T = 0 Solving 4 + 2T + 2t2 + t2T = 0 Move all terms containing T to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2T + 2t2 + -4 + t2T = 0 + -4 Reorder the terms: 4 + -4 + 2T + 2t2 + t2T = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2T + 2t2 + t2T = 0 + -4 2T + 2t2 + t2T = 0 + -4 Combine like terms: 0 + -4 = -4 2T + 2t2 + t2T = -4 Add '-2t2' to each side of the equation. 2T + 2t2 + -2t2 + t2T = -4 + -2t2 Combine like terms: 2t2 + -2t2 = 0 2T + 0 + t2T = -4 + -2t2 2T + t2T = -4 + -2t2 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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