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Simplifying -18t2 + 45t5 = -9t2 Solving -18t2 + 45t5 = -9t2 Solving for variable 't'. Reorder the terms: -18t2 + 9t2 + 45t5 = -9t2 + 9t2 Combine like terms: -18t2 + 9t2 = -9t2 -9t2 + 45t5 = -9t2 + 9t2 Combine like terms: -9t2 + 9t2 = 0 -9t2 + 45t5 = 0 Factor out the Greatest Common Factor (GCF), '9t2'. 9t2(-1 + 5t3) = 0 Ignore the factor 9.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 '(-1 + 5t3)' equal to zero and attempt to solve: Simplifying -1 + 5t3 = 0 Solving -1 + 5t3 = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5t3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5t3 = 0 + 1 5t3 = 0 + 1 Combine like terms: 0 + 1 = 1 5t3 = 1 Divide each side by '5'. t3 = 0.2 Simplifying t3 = 0.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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