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Simplifying 2t2 + 6t + 9 = 9 Reorder the terms: 9 + 6t + 2t2 = 9 Add '-9' to each side of the equation. 9 + 6t + -9 + 2t2 = 9 + -9 Reorder the terms: 9 + -9 + 6t + 2t2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 6t + 2t2 = 9 + -9 6t + 2t2 = 9 + -9 Combine like terms: 9 + -9 = 0 6t + 2t2 = 0 Solving 6t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(3 + t) = 0 Ignore the factor 2.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 '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {0, -3}
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