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Simplifying 0 = (-1t2) + 6t Reorder the terms: 0 = 6t + (-1t2) Solving 0 = 6t + (-1t2) Solving for variable 't'. 0 + -6t + t2 = 6t + (-1t2) + -6t + (t2) Remove the zero: -6t + t2 = 6t + (-1t2) + -6t + (t2) -6t + t2 = 6t + (-1t2) + -6t + t2 Reorder the terms: -6t + t2 = 6t + -6t + (-1t2) + t2 Combine like terms: 6t + -6t = 0 -6t + t2 = 0 + (-1t2) + t2 -6t + t2 = (-1t2) + t2 Combine like terms: (-1t2) + t2 = 0 -6t + t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-6 + t) = 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 '(-6 + t)' equal to zero and attempt to solve: Simplifying -6 + t = 0 Solving -6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + t = 0 + 6 t = 0 + 6 Combine like terms: 0 + 6 = 6 t = 6 Simplifying t = 6Solution
t = {0, 6}
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