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Simplifying 980t = -490t2 + 1470t Reorder the terms: 980t = 1470t + -490t2 Solving 980t = 1470t + -490t2 Solving for variable 't'. Combine like terms: 980t + -1470t = -490t -490t + 490t2 = 1470t + -490t2 + -1470t + 490t2 Reorder the terms: -490t + 490t2 = 1470t + -1470t + -490t2 + 490t2 Combine like terms: 1470t + -1470t = 0 -490t + 490t2 = 0 + -490t2 + 490t2 -490t + 490t2 = -490t2 + 490t2 Combine like terms: -490t2 + 490t2 = 0 -490t + 490t2 = 0 Factor out the Greatest Common Factor (GCF), '490t'. 490t(-1 + t) = 0 Ignore the factor 490.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 '(-1 + t)' equal to zero and attempt to solve: Simplifying -1 + t = 0 Solving -1 + t = 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 + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + t = 0 + 1 t = 0 + 1 Combine like terms: 0 + 1 = 1 t = 1 Simplifying t = 1Solution
t = {0, 1}
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