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Simplifying 4t(3t + -7) = 0 Reorder the terms: 4t(-7 + 3t) = 0 (-7 * 4t + 3t * 4t) = 0 (-28t + 12t2) = 0 Solving -28t + 12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(-7 + 3t) = 0 Ignore the factor 4.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 + 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 = 2.333333333Solution
t = {0, 2.333333333}
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