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Simplifying 7t2 = -56t Solving 7t2 = -56t Solving for variable 't'. Reorder the terms: 56t + 7t2 = -56t + 56t Combine like terms: -56t + 56t = 0 56t + 7t2 = 0 Factor out the Greatest Common Factor (GCF), '7t'. 7t(8 + t) = 0 Ignore the factor 7.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 '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8Solution
t = {0, -8}
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