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Simplifying 12 = -5t2 + 11t + 12 Reorder the terms: 12 = 12 + 11t + -5t2 Add '-12' to each side of the equation. 12 + -12 = 12 + 11t + -12 + -5t2 Combine like terms: 12 + -12 = 0 0 = 12 + 11t + -12 + -5t2 Reorder the terms: 0 = 12 + -12 + 11t + -5t2 Combine like terms: 12 + -12 = 0 0 = 0 + 11t + -5t2 0 = 11t + -5t2 Solving 0 = 11t + -5t2 Solving for variable 't'. Remove the zero: -11t + 5t2 = 11t + -5t2 + -11t + 5t2 Reorder the terms: -11t + 5t2 = 11t + -11t + -5t2 + 5t2 Combine like terms: 11t + -11t = 0 -11t + 5t2 = 0 + -5t2 + 5t2 -11t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -11t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-11 + 5t) = 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 + 5t)' equal to zero and attempt to solve: Simplifying -11 + 5t = 0 Solving -11 + 5t = 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 + 5t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5t = 0 + 11 5t = 0 + 11 Combine like terms: 0 + 11 = 11 5t = 11 Divide each side by '5'. t = 2.2 Simplifying t = 2.2Solution
t = {0, 2.2}
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