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Simplifying -49t2 + -245t + 7t + 35 = 0 Reorder the terms: 35 + -245t + 7t + -49t2 = 0 Combine like terms: -245t + 7t = -238t 35 + -238t + -49t2 = 0 Solving 35 + -238t + -49t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '7'. 7(5 + -34t + -7t2) = 0 Factor a trinomial. 7((1 + -7t)(5 + t)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -7t)' equal to zero and attempt to solve: Simplifying 1 + -7t = 0 Solving 1 + -7t = 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 + -7t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7t = 0 + -1 -7t = 0 + -1 Combine like terms: 0 + -1 = -1 -7t = -1 Divide each side by '-7'. t = 0.1428571429 Simplifying t = 0.1428571429Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Solution
t = {0.1428571429, -5}
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