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Simplifying -16t2 + 70t + -76 = 0 Reorder the terms: -76 + 70t + -16t2 = 0 Solving -76 + 70t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-38 + 35t + -8t2) = 0 Factor a trinomial. 2((-19 + 8t)(2 + -1t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + 8t)' equal to zero and attempt to solve: Simplifying -19 + 8t = 0 Solving -19 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8t = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8t = 0 + 19 8t = 0 + 19 Combine like terms: 0 + 19 = 19 8t = 19 Divide each side by '8'. t = 2.375 Simplifying t = 2.375Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {2.375, 2}
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