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Simplifying X(t) = 30t + 20t Multiply X * t tX = 30t + 20t Combine like terms: 30t + 20t = 50t tX = 50t Solving tX = 50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50t' to each side of the equation. -50t + tX = 50t + -50t Combine like terms: 50t + -50t = 0 -50t + tX = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-50 + X) = 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 '(-50 + X)' equal to zero and attempt to solve: Simplifying -50 + X = 0 Solving -50 + X = 0 Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + X = 0 + 50 Combine like terms: -50 + 50 = 0 0 + X = 0 + 50 X = 0 + 50 Combine like terms: 0 + 50 = 50 X = 50 Add '-1X' to each side of the equation. X + -1X = 50 + -1X Combine like terms: X + -1X = 0 0 = 50 + -1X Simplifying 0 = 50 + -1X 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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