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Simplifying -1260 + 5t + 25t2 = 0 Solving -1260 + 5t + 25t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(-252 + t + 5t2) = 0 Factor a trinomial. 5((-36 + -5t)(7 + -1t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-36 + -5t)' equal to zero and attempt to solve: Simplifying -36 + -5t = 0 Solving -36 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -5t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -5t = 0 + 36 -5t = 0 + 36 Combine like terms: 0 + 36 = 36 -5t = 36 Divide each side by '-5'. t = -7.2 Simplifying t = -7.2Subproblem 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 = {-7.2, 7}
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