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Simplifying 0 = 448t + -32t2 Solving 0 = 448t + -32t2 Solving for variable 't'. Remove the zero: -448t + 32t2 = 448t + -32t2 + -448t + 32t2 Reorder the terms: -448t + 32t2 = 448t + -448t + -32t2 + 32t2 Combine like terms: 448t + -448t = 0 -448t + 32t2 = 0 + -32t2 + 32t2 -448t + 32t2 = -32t2 + 32t2 Combine like terms: -32t2 + 32t2 = 0 -448t + 32t2 = 0 Factor out the Greatest Common Factor (GCF), '32t'. 32t(-14 + t) = 0 Ignore the factor 32.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 + t)' equal to zero and attempt to solve: Simplifying -14 + t = 0 Solving -14 + t = 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 + t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + t = 0 + 14 t = 0 + 14 Combine like terms: 0 + 14 = 14 t = 14 Simplifying t = 14Solution
t = {0, 14}
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