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Simplifying 12t2 + 30t2 + 48t = 0 Reorder the terms: 48t + 12t2 + 30t2 = 0 Combine like terms: 12t2 + 30t2 = 42t2 48t + 42t2 = 0 Solving 48t + 42t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(8 + 7t) = 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 '(8 + 7t)' equal to zero and attempt to solve: Simplifying 8 + 7t = 0 Solving 8 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7t = 0 + -8 7t = 0 + -8 Combine like terms: 0 + -8 = -8 7t = -8 Divide each side by '7'. t = -1.142857143 Simplifying t = -1.142857143Solution
t = {0, -1.142857143}
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