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Simplifying 6t(13t + 7) = 0 Reorder the terms: 6t(7 + 13t) = 0 (7 * 6t + 13t * 6t) = 0 (42t + 78t2) = 0 Solving 42t + 78t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(7 + 13t) = 0 Ignore the factor 6.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(7 + 13t)' equal to zero and attempt to solve: Simplifying 7 + 13t = 0 Solving 7 + 13t = 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 + 13t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13t = 0 + -7 13t = 0 + -7 Combine like terms: 0 + -7 = -7 13t = -7 Divide each side by '13'. t = -0.5384615385 Simplifying t = -0.5384615385Solution
t = {0, -0.5384615385}
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