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Simplifying 6t(5t + -6) = 0 Reorder the terms: 6t(-6 + 5t) = 0 (-6 * 6t + 5t * 6t) = 0 (-36t + 30t2) = 0 Solving -36t + 30t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(-6 + 5t) = 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 '(-6 + 5t)' equal to zero and attempt to solve: Simplifying -6 + 5t = 0 Solving -6 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5t = 0 + 6 5t = 0 + 6 Combine like terms: 0 + 6 = 6 5t = 6 Divide each side by '5'. t = 1.2 Simplifying t = 1.2Solution
t = {0, 1.2}
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