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Simplifying 7t6 + -49t5 + -308t4 = 0 Reorder the terms: -308t4 + -49t5 + 7t6 = 0 Solving -308t4 + -49t5 + 7t6 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '7t4'. 7t4(-44 + -7t + t2) = 0 Factor a trinomial. 7t4((-4 + -1t)(11 + -1t)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 't4' equal to zero and attempt to solve: Simplifying t4 = 0 Solving t4 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Solution
t = {-4, 11}
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