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Simplifying 0 = 72t + 6t2 Solving 0 = 72t + 6t2 Solving for variable 't'. Remove the zero: -72t + -6t2 = 72t + 6t2 + -72t + -6t2 Reorder the terms: -72t + -6t2 = 72t + -72t + 6t2 + -6t2 Combine like terms: 72t + -72t = 0 -72t + -6t2 = 0 + 6t2 + -6t2 -72t + -6t2 = 6t2 + -6t2 Combine like terms: 6t2 + -6t2 = 0 -72t + -6t2 = 0 Factor out the Greatest Common Factor (GCF), '-6t'. -6t(12 + t) = 0 Ignore the factor -6.Subproblem 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 '(12 + t)' equal to zero and attempt to solve: Simplifying 12 + t = 0 Solving 12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + t = 0 + -12 t = 0 + -12 Combine like terms: 0 + -12 = -12 t = -12 Simplifying t = -12Solution
t = {0, -12}
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