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Simplifying 0 = 90t2 + -3t3 Solving 0 = 90t2 + -3t3 Solving for variable 't'. Remove the zero: -90t2 + 3t3 = 90t2 + -3t3 + -90t2 + 3t3 Reorder the terms: -90t2 + 3t3 = 90t2 + -90t2 + -3t3 + 3t3 Combine like terms: 90t2 + -90t2 = 0 -90t2 + 3t3 = 0 + -3t3 + 3t3 -90t2 + 3t3 = -3t3 + 3t3 Combine like terms: -3t3 + 3t3 = 0 -90t2 + 3t3 = 0 Factor out the Greatest Common Factor (GCF), '3t2'. 3t2(-30 + t) = 0 Ignore the factor 3.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 '(-30 + t)' equal to zero and attempt to solve: Simplifying -30 + t = 0 Solving -30 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + t = 0 + 30 t = 0 + 30 Combine like terms: 0 + 30 = 30 t = 30 Simplifying t = 30Solution
t = {0, 30}
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