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Simplifying 7t3 + -21t2 + -2926t = 0 Reorder the terms: -2926t + -21t2 + 7t3 = 0 Solving -2926t + -21t2 + 7t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '7t'. 7t(-418 + -3t + t2) = 0 Factor a trinomial. 7t((-19 + -1t)(22 + -1t)) = 0 Ignore the factor 7.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 '(-19 + -1t)' equal to zero and attempt to solve: Simplifying -19 + -1t = 0 Solving -19 + -1t = 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 + -1t = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1t = 0 + 19 -1t = 0 + 19 Combine like terms: 0 + 19 = 19 -1t = 19 Divide each side by '-1'. t = -19 Simplifying t = -19Subproblem 3
Set the factor '(22 + -1t)' equal to zero and attempt to solve: Simplifying 22 + -1t = 0 Solving 22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 0 + -22 -1t = 0 + -22 Combine like terms: 0 + -22 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22Solution
t = {0, -19, 22}
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