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Simplifying 3t2 + -11t + 10 = 10 Reorder the terms: 10 + -11t + 3t2 = 10 Add '-10' to each side of the equation. 10 + -11t + -10 + 3t2 = 10 + -10 Reorder the terms: 10 + -10 + -11t + 3t2 = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -11t + 3t2 = 10 + -10 -11t + 3t2 = 10 + -10 Combine like terms: 10 + -10 = 0 -11t + 3t2 = 0 Solving -11t + 3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-11 + 3t) = 0Subproblem 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 '(-11 + 3t)' equal to zero and attempt to solve: Simplifying -11 + 3t = 0 Solving -11 + 3t = 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 + 3t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3t = 0 + 11 3t = 0 + 11 Combine like terms: 0 + 11 = 11 3t = 11 Divide each side by '3'. t = 3.666666667 Simplifying t = 3.666666667Solution
t = {0, 3.666666667}
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