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Simplifying 0 = 5t2 + -35t Reorder the terms: 0 = -35t + 5t2 Solving 0 = -35t + 5t2 Solving for variable 't'. Remove the zero: 35t + -5t2 = -35t + 5t2 + 35t + -5t2 Reorder the terms: 35t + -5t2 = -35t + 35t + 5t2 + -5t2 Combine like terms: -35t + 35t = 0 35t + -5t2 = 0 + 5t2 + -5t2 35t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 35t + -5t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(7 + -1t) = 0 Ignore the factor 5.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 '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {0, 7}
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