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Simplifying 25t2 = 35t + 8 Reorder the terms: 25t2 = 8 + 35t Solving 25t2 = 8 + 35t Solving for variable 't'. Reorder the terms: -8 + -35t + 25t2 = 8 + 35t + -8 + -35t Reorder the terms: -8 + -35t + 25t2 = 8 + -8 + 35t + -35t Combine like terms: 8 + -8 = 0 -8 + -35t + 25t2 = 0 + 35t + -35t -8 + -35t + 25t2 = 35t + -35t Combine like terms: 35t + -35t = 0 -8 + -35t + 25t2 = 0 Factor a trinomial. (-1 + -5t)(8 + -5t) = 0Subproblem 1
Set the factor '(-1 + -5t)' equal to zero and attempt to solve: Simplifying -1 + -5t = 0 Solving -1 + -5t = 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 + -5t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5t = 0 + 1 -5t = 0 + 1 Combine like terms: 0 + 1 = 1 -5t = 1 Divide each side by '-5'. t = -0.2 Simplifying t = -0.2Subproblem 2
Set the factor '(8 + -5t)' equal to zero and attempt to solve: Simplifying 8 + -5t = 0 Solving 8 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 0 + -8 -5t = 0 + -8 Combine like terms: 0 + -8 = -8 -5t = -8 Divide each side by '-5'. t = 1.6 Simplifying t = 1.6Solution
t = {-0.2, 1.6}
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