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Simplifying -16t2 + 90t = 0 Reorder the terms: 90t + -16t2 = 0 Solving 90t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(45 + -8t) = 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 '(45 + -8t)' equal to zero and attempt to solve: Simplifying 45 + -8t = 0 Solving 45 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -8t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -8t = 0 + -45 -8t = 0 + -45 Combine like terms: 0 + -45 = -45 -8t = -45 Divide each side by '-8'. t = 5.625 Simplifying t = 5.625Solution
t = {0, 5.625}
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