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Simplifying -16t2 = 23t Solving -16t2 = 23t Solving for variable 't'. Reorder the terms: -23t + -16t2 = 23t + -23t Combine like terms: 23t + -23t = 0 -23t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(23 + 16t) = 0 Ignore the factor -1.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 '(23 + 16t)' equal to zero and attempt to solve: Simplifying 23 + 16t = 0 Solving 23 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 16t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 16t = 0 + -23 16t = 0 + -23 Combine like terms: 0 + -23 = -23 16t = -23 Divide each side by '16'. t = -1.4375 Simplifying t = -1.4375Solution
t = {0, -1.4375}
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