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Simplifying 3t3 + -135t2 + -588t = 0 Reorder the terms: -588t + -135t2 + 3t3 = 0 Solving -588t + -135t2 + 3t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(-196 + -45t + t2) = 0 Factor a trinomial. 3t((-4 + -1t)(49 + -1t)) = 0 Ignore the factor 3.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 + -1t)' equal to zero and attempt to solve: Simplifying -4 + -1t = 0 Solving -4 + -1t = 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 + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 0 + 4 -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4Subproblem 3
Set the factor '(49 + -1t)' equal to zero and attempt to solve: Simplifying 49 + -1t = 0 Solving 49 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1t = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1t = 0 + -49 -1t = 0 + -49 Combine like terms: 0 + -49 = -49 -1t = -49 Divide each side by '-1'. t = 49 Simplifying t = 49Solution
t = {0, -4, 49}
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