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Simplifying 320 = -16t2 + -32t + 320 Reorder the terms: 320 = 320 + -32t + -16t2 Add '-320' to each side of the equation. 320 + -320 = 320 + -32t + -320 + -16t2 Combine like terms: 320 + -320 = 0 0 = 320 + -32t + -320 + -16t2 Reorder the terms: 0 = 320 + -320 + -32t + -16t2 Combine like terms: 320 + -320 = 0 0 = 0 + -32t + -16t2 0 = -32t + -16t2 Solving 0 = -32t + -16t2 Solving for variable 't'. Remove the zero: 32t + 16t2 = -32t + -16t2 + 32t + 16t2 Reorder the terms: 32t + 16t2 = -32t + 32t + -16t2 + 16t2 Combine like terms: -32t + 32t = 0 32t + 16t2 = 0 + -16t2 + 16t2 32t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 32t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(2 + t) = 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 '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {0, -2}
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