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Simplifying -6t2 + -10t + 56 = 0 Reorder the terms: 56 + -10t + -6t2 = 0 Solving 56 + -10t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -5t + -3t2) = 0 Factor a trinomial. 2((7 + -3t)(4 + t)) = 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 '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Solution
t = {2.333333333, -4}
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