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Simplifying 44t3 + -12t2 = 4t2 Reorder the terms: -12t2 + 44t3 = 4t2 Solving -12t2 + 44t3 = 4t2 Solving for variable 't'. Reorder the terms: -12t2 + -4t2 + 44t3 = 4t2 + -4t2 Combine like terms: -12t2 + -4t2 = -16t2 -16t2 + 44t3 = 4t2 + -4t2 Combine like terms: 4t2 + -4t2 = 0 -16t2 + 44t3 = 0 Factor out the Greatest Common Factor (GCF), '4t2'. 4t2(-4 + 11t) = 0 Ignore the factor 4.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(-4 + 11t)' equal to zero and attempt to solve: Simplifying -4 + 11t = 0 Solving -4 + 11t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11t = 0 + 4 11t = 0 + 4 Combine like terms: 0 + 4 = 4 11t = 4 Divide each side by '11'. t = 0.3636363636 Simplifying t = 0.3636363636Solution
t = {0, 0.3636363636}
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