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Simplifying 30t2 + 28t + -98 = 0 Reorder the terms: -98 + 28t + 30t2 = 0 Solving -98 + 28t + 30t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-49 + 14t + 15t2) = 0 Factor a trinomial. 2((-7 + -3t)(7 + -5t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -3t)' equal to zero and attempt to solve: Simplifying -7 + -3t = 0 Solving -7 + -3t = 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 + -3t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3t = 0 + 7 -3t = 0 + 7 Combine like terms: 0 + 7 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333Subproblem 2
Set the factor '(7 + -5t)' equal to zero and attempt to solve: Simplifying 7 + -5t = 0 Solving 7 + -5t = 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 + -5t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = 0 + -7 -5t = 0 + -7 Combine like terms: 0 + -7 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4Solution
t = {-2.333333333, 1.4}
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