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Simplifying 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 + t) = 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 + t)' equal to zero and attempt to solve: Simplifying -7 + t = 0 Solving -7 + t = 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 + t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + t = 0 + 7 t = 0 + 7 Combine like terms: 0 + 7 = 7 t = 7 Simplifying t = 7Solution
t = {0, 7}
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