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Simplifying 35t2 + -24t + 4 = 0 Reorder the terms: 4 + -24t + 35t2 = 0 Solving 4 + -24t + 35t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + -7t)(2 + -5t) = 0Subproblem 1
Set the factor '(2 + -7t)' equal to zero and attempt to solve: Simplifying 2 + -7t = 0 Solving 2 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = 0 + -2 -7t = 0 + -2 Combine like terms: 0 + -2 = -2 -7t = -2 Divide each side by '-7'. t = 0.2857142857 Simplifying t = 0.2857142857Subproblem 2
Set the factor '(2 + -5t)' equal to zero and attempt to solve: Simplifying 2 + -5t = 0 Solving 2 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = 0 + -2 -5t = 0 + -2 Combine like terms: 0 + -2 = -2 -5t = -2 Divide each side by '-5'. t = 0.4 Simplifying t = 0.4Solution
t = {0.2857142857, 0.4}
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