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Simplifying 70t + -12t2 = 0 Solving 70t + -12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(35 + -6t) = 0 Ignore the factor 2.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 '(35 + -6t)' equal to zero and attempt to solve: Simplifying 35 + -6t = 0 Solving 35 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -6t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -6t = 0 + -35 -6t = 0 + -35 Combine like terms: 0 + -35 = -35 -6t = -35 Divide each side by '-6'. t = 5.833333333 Simplifying t = 5.833333333Solution
t = {0, 5.833333333}
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