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Simplifying -16t2 + 150t = -100 Reorder the terms: 150t + -16t2 = -100 Solving 150t + -16t2 = -100 Solving for variable 't'. Reorder the terms: 100 + 150t + -16t2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + 150t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 75t + -8t2) = 0 Factor a trinomial. 2((10 + -1t)(5 + 8t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Subproblem 2
Set the factor '(5 + 8t)' equal to zero and attempt to solve: Simplifying 5 + 8t = 0 Solving 5 + 8t = 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 + 8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8t = 0 + -5 8t = 0 + -5 Combine like terms: 0 + -5 = -5 8t = -5 Divide each side by '8'. t = -0.625 Simplifying t = -0.625Solution
t = {10, -0.625}
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