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Simplifying -40t3 + -275t2 + -235t = 0 Reorder the terms: -235t + -275t2 + -40t3 = 0 Solving -235t + -275t2 + -40t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-5t'. -5t(47 + 55t + 8t2) = 0 Factor a trinomial. -5t((47 + 8t)(1 + t)) = 0 Ignore the factor -5.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 '(47 + 8t)' equal to zero and attempt to solve: Simplifying 47 + 8t = 0 Solving 47 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 8t = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 8t = 0 + -47 8t = 0 + -47 Combine like terms: 0 + -47 = -47 8t = -47 Divide each side by '8'. t = -5.875 Simplifying t = -5.875Subproblem 3
Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Solution
t = {0, -5.875, -1}
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