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Simplifying 3t(7t + -3) = 0 Reorder the terms: 3t(-3 + 7t) = 0 (-3 * 3t + 7t * 3t) = 0 (-9t + 21t2) = 0 Solving -9t + 21t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(-3 + 7t) = 0 Ignore the factor 3.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 '(-3 + 7t)' equal to zero and attempt to solve: Simplifying -3 + 7t = 0 Solving -3 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7t = 0 + 3 7t = 0 + 3 Combine like terms: 0 + 3 = 3 7t = 3 Divide each side by '7'. t = 0.4285714286 Simplifying t = 0.4285714286Solution
t = {0, 0.4285714286}
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