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Simplifying 90t + -3t2 = 0 Solving 90t + -3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(30 + -1t) = 0 Ignore the factor 3.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 '(30 + -1t)' equal to zero and attempt to solve: Simplifying 30 + -1t = 0 Solving 30 + -1t = 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 + -1t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1t = 0 + -30 -1t = 0 + -30 Combine like terms: 0 + -30 = -30 -1t = -30 Divide each side by '-1'. t = 30 Simplifying t = 30Solution
t = {0, 30}
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