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Simplifying (52t + -16t2) = 0 Remove parenthesis around (52t + -16t2) 52t + -16t2 = 0 Solving 52t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(13 + -4t) = 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 '(13 + -4t)' equal to zero and attempt to solve: Simplifying 13 + -4t = 0 Solving 13 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 0 + -13 -4t = 0 + -13 Combine like terms: 0 + -13 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25Solution
t = {0, 3.25}
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