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Simplifying 0 = 16t(t + -7) Reorder the terms: 0 = 16t(-7 + t) 0 = (-7 * 16t + t * 16t) 0 = (-112t + 16t2) Solving 0 = -112t + 16t2 Solving for variable 't'. Remove the zero: 112t + -16t2 = -112t + 16t2 + 112t + -16t2 Reorder the terms: 112t + -16t2 = -112t + 112t + 16t2 + -16t2 Combine like terms: -112t + 112t = 0 112t + -16t2 = 0 + 16t2 + -16t2 112t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 112t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(7 + -1t) = 0 Ignore the factor 16.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 '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {0, 7}
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