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Simplifying -16t2 + 94t = 70 Reorder the terms: 94t + -16t2 = 70 Solving 94t + -16t2 = 70 Solving for variable 't'. Reorder the terms: -70 + 94t + -16t2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + 94t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 47t + -8t2) = 0 Factor a trinomial. 2((-5 + t)(7 + -8t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5Subproblem 2
Set the factor '(7 + -8t)' equal to zero and attempt to solve: Simplifying 7 + -8t = 0 Solving 7 + -8t = 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 + -8t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = 0 + -7 -8t = 0 + -7 Combine like terms: 0 + -7 = -7 -8t = -7 Divide each side by '-8'. t = 0.875 Simplifying t = 0.875Solution
t = {5, 0.875}
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