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Simplifying 7 = -16t2 + 112t + 7 Reorder the terms: 7 = 7 + 112t + -16t2 Add '-7' to each side of the equation. 7 + -7 = 7 + 112t + -7 + -16t2 Combine like terms: 7 + -7 = 0 0 = 7 + 112t + -7 + -16t2 Reorder the terms: 0 = 7 + -7 + 112t + -16t2 Combine like terms: 7 + -7 = 0 0 = 0 + 112t + -16t2 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 + 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 '(-7 + t)' equal to zero and attempt to solve: Simplifying -7 + t = 0 Solving -7 + t = 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 + t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + t = 0 + 7 t = 0 + 7 Combine like terms: 0 + 7 = 7 t = 7 Simplifying t = 7Solution
t = {0, 7}
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