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Simplifying T(t + -4)(t + -5) = 0 Reorder the terms: T(-4 + t)(t + -5) = 0 Reorder the terms: T(-4 + t)(-5 + t) = 0 Multiply (-4 + t) * (-5 + t) T(-4(-5 + t) + t(-5 + t)) = 0 T((-5 * -4 + t * -4) + t(-5 + t)) = 0 T((20 + -4t) + t(-5 + t)) = 0 T(20 + -4t + (-5 * t + t * t)) = 0 T(20 + -4t + (-5t + t2)) = 0 Combine like terms: -4t + -5t = -9t T(20 + -9t + t2) = 0 (20 * T + -9t * T + t2 * T) = 0 (20T + -9tT + t2T) = 0 Solving 20T + -9tT + t2T = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'T'. T(20 + -9t + t2) = 0 Factor a trinomial. T((4 + -1t)(5 + -1t)) = 0Subproblem 1
Set the factor 'T' equal to zero and attempt to solve: Simplifying T = 0 Solving T = 0 Move all terms containing T to the left, all other terms to the right. Simplifying T = 0Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing T to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Add 't' to each side of the equation. -1t + t = -4 + t Combine like terms: -1t + t = 0 0 = -4 + t Simplifying 0 = -4 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing T to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Add 't' to each side of the equation. -1t + t = -5 + t Combine like terms: -1t + t = 0 0 = -5 + t Simplifying 0 = -5 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
T = {0}
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