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Simplifying 28t + -6t2 = 0 Solving 28t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(14 + -3t) = 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 '(14 + -3t)' equal to zero and attempt to solve: Simplifying 14 + -3t = 0 Solving 14 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3t = 0 + -14 -3t = 0 + -14 Combine like terms: 0 + -14 = -14 -3t = -14 Divide each side by '-3'. t = 4.666666667 Simplifying t = 4.666666667Solution
t = {0, 4.666666667}
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