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Simplifying 9t = t2 + -4t Reorder the terms: 9t = -4t + t2 Solving 9t = -4t + t2 Solving for variable 't'. Combine like terms: 9t + 4t = 13t 13t + -1t2 = -4t + t2 + 4t + -1t2 Reorder the terms: 13t + -1t2 = -4t + 4t + t2 + -1t2 Combine like terms: -4t + 4t = 0 13t + -1t2 = 0 + t2 + -1t2 13t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 13t + -1t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(13 + -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 '(13 + -1t)' equal to zero and attempt to solve: Simplifying 13 + -1t = 0 Solving 13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1t = 0 + -13 -1t = 0 + -13 Combine like terms: 0 + -13 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13Solution
t = {0, 13}
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