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Simplifying -112t = -4t2 Solving -112t = -4t2 Solving for variable 't'. Combine like terms: -4t2 + 4t2 = 0 -112t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-28 + t) = 0 Ignore the factor 4.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 '(-28 + t)' equal to zero and attempt to solve: Simplifying -28 + t = 0 Solving -28 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + t = 0 + 28 t = 0 + 28 Combine like terms: 0 + 28 = 28 t = 28 Simplifying t = 28Solution
t = {0, 28}
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