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Simplifying (2t3) + -24t + 20 = 20 Reorder the terms: 20 + -24t + (2t3) = 20 Add '-20' to each side of the equation. 20 + -24t + -20 + (2t3) = 20 + -20 Reorder the terms: 20 + -20 + -24t + (2t3) = 20 + -20 Combine like terms: 20 + -20 = 0 0 + -24t + (2t3) = 20 + -20 -24t + (2t3) = 20 + -20 Combine like terms: 20 + -20 = 0 -24t + (2t3) = 0 Solving -24t + (2t3) = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-12 + t2) = 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 '(-12 + t2)' equal to zero and attempt to solve: Simplifying -12 + t2 = 0 Solving -12 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t2 = 0 + 12 t2 = 0 + 12 Combine like terms: 0 + 12 = 12 t2 = 12 Simplifying t2 = 12 Take the square root of each side: t = {-3.464101615, 3.464101615}Solution
t = {0, -3.464101615, 3.464101615}
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