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Simplifying 9t7 + -9t6 + -990t5 = 0 Reorder the terms: -990t5 + -9t6 + 9t7 = 0 Solving -990t5 + -9t6 + 9t7 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '9t5'. 9t5(-110 + -1t + t2) = 0 Factor a trinomial. 9t5((-10 + -1t)(11 + -1t)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 't5' equal to zero and attempt to solve: Simplifying t5 = 0 Solving t5 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t5 = 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 '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 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 = {-10, 11}
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