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Simplifying -28t3 + -23t2 + -4t = 0 Reorder the terms: -4t + -23t2 + -28t3 = 0 Solving -4t + -23t2 + -28t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1t'. -1t(4 + 23t + 28t2) = 0 Factor a trinomial. -1t((4 + 7t)(1 + 4t)) = 0 Ignore the factor -1.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 '(4 + 7t)' equal to zero and attempt to solve: Simplifying 4 + 7t = 0 Solving 4 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = 0 + -4 7t = 0 + -4 Combine like terms: 0 + -4 = -4 7t = -4 Divide each side by '7'. t = -0.5714285714 Simplifying t = -0.5714285714Subproblem 3
Set the factor '(1 + 4t)' equal to zero and attempt to solve: Simplifying 1 + 4t = 0 Solving 1 + 4t = 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 + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 0 + -1 4t = 0 + -1 Combine like terms: 0 + -1 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25Solution
t = {0, -0.5714285714, -0.25}
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