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Simplifying 25t2 + -10t + -15 = 0 Reorder the terms: -15 + -10t + 25t2 = 0 Solving -15 + -10t + 25t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -2t + 5t2) = 0 Factor a trinomial. 5((-3 + -5t)(1 + -1t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -5t)' equal to zero and attempt to solve: Simplifying -3 + -5t = 0 Solving -3 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5t = 0 + 3 -5t = 0 + 3 Combine like terms: 0 + 3 = 3 -5t = 3 Divide each side by '-5'. t = -0.6 Simplifying t = -0.6Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-0.6, 1}
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